{"id":1945,"date":"2023-09-28T08:21:12","date_gmt":"2023-09-28T06:21:12","guid":{"rendered":"https:\/\/fabiomelicianiscience.com\/?p=1945"},"modified":"2023-11-14T08:58:15","modified_gmt":"2023-11-14T07:58:15","slug":"make-your-choice","status":"publish","type":"post","link":"https:\/\/www.din.usi.ch\/blog\/2023\/09\/28\/make-your-choice\/","title":{"rendered":"Monty Hall"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1945\" class=\"elementor elementor-1945\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f22eea0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f22eea0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c85c568\" data-id=\"c85c568\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44a50013 elementor-widget elementor-widget-text-editor\" data-id=\"44a50013\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p>This paradox is inspired by the 1960s American TV quiz show <em>Let&#8217;s make a deal<\/em>, hosted by host <strong>Monty Hall<\/strong>. The game consists of three doors, behind each of which there is a prize or non-premium, and the prize is hidden behind a single door. The probability of the prize being behind a given door is the same for all doors and is 1 in 3.<\/p><figure><p><!-- \/wp:image --><\/p><\/figure><p><!-- \/wp:gallery --><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-986bb26 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"986bb26\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fbe29b4\" data-id=\"fbe29b4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-75cc134 elementor-arrows-position-inside elementor-pagination-position-outside elementor-widget elementor-widget-image-carousel\" data-id=\"75cc134\" data-element_type=\"widget\" data-settings=\"{&quot;slides_to_show&quot;:&quot;2&quot;,&quot;navigation&quot;:&quot;both&quot;,&quot;autoplay&quot;:&quot;yes&quot;,&quot;pause_on_hover&quot;:&quot;yes&quot;,&quot;pause_on_interaction&quot;:&quot;yes&quot;,&quot;autoplay_speed&quot;:5000,&quot;infinite&quot;:&quot;yes&quot;,&quot;speed&quot;:500,&quot;image_spacing_custom&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:20,&quot;sizes&quot;:[]},&quot;image_spacing_custom_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;image_spacing_custom_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"image-carousel.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-image-carousel .swiper,.elementor-widget-image-carousel .swiper-container{position:static}.elementor-widget-image-carousel .swiper-container .swiper-slide figure,.elementor-widget-image-carousel .swiper .swiper-slide figure{line-height:inherit}.elementor-widget-image-carousel .swiper-slide{text-align:center}.elementor-image-carousel-wrapper:not(.swiper-container-initialized):not(.swiper-initialized) .swiper-slide{max-width:calc(100% \/ var(--e-image-carousel-slides-to-show, 3))}<\/style>\t\t<div class=\"elementor-image-carousel-wrapper swiper-container\" dir=\"ltr\">\n\t\t\t<div class=\"elementor-image-carousel swiper-wrapper swiper-image-stretch\" aria-live=\"off\">\n\t\t\t\t\t\t\t\t<div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"1 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_6-640x640.png\" alt=\"PHOTO_montyhall_6\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"2 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_8-640x640.png\" alt=\"PHOTO_montyhall_8\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"3 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_9-640x640.png\" alt=\"PHOTO_montyhall_9\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"4 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_10-640x640.png\" alt=\"PHOTO_montyhall_10\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"5 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_4-640x640.jpg\" alt=\"PHOTO_montyhall_4\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"6 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_7-640x640.png\" alt=\"PHOTO_montyhall_7\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"7 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_2-640x640.jpg\" alt=\"PHOTO_montyhall_2\" \/><\/figure><\/div><div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"8 of 8\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/PHOTO_montyhall_1-640x640.jpg\" alt=\"PHOTO_montyhall_1\" \/><\/figure><\/div>\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-swiper-button elementor-swiper-button-prev\" role=\"button\" tabindex=\"0\">\n\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-angle-double-left\"><\/i>\t\t\t\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-swiper-button elementor-swiper-button-next\" role=\"button\" tabindex=\"0\">\n\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-angle-double-right\"><\/i>\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"swiper-pagination\"><\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ba4eb8c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ba4eb8c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-dca044a\" data-id=\"dca044a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a5a6dd3 elementor-widget elementor-widget-heading\" data-id=\"a5a6dd3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">How to play<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2a13df1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2a13df1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7da9632\" data-id=\"7da9632\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cd996a1 elementor-widget elementor-widget-text-editor\" data-id=\"cd996a1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The player chooses one of the doors and tells everyone. The handler knows what lies behind each door and must open one of the doors not selected by the player and absolutely one without a prize: if the player has chosen a losing door, the handler will open the other losing door; if, on the other hand, the player has chosen the winning door, the handler will open one of the two remaining doors at will. <br \/><br \/>After opening the first door, The handler gives the player the option of finding out what is behind the door he or she initially chose or to change. Which strategy is best for the player? Keep the first choice or change?<\/p><p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-3054 size-full\" src=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/WhatsApp-Image-2023-10-13-at-11.23.01.jpeg\" alt=\"\" width=\"1336\" height=\"1080\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/WhatsApp-Image-2023-10-13-at-11.23.01.jpeg 1336w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/WhatsApp-Image-2023-10-13-at-11.23.01-300x243.jpeg 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/WhatsApp-Image-2023-10-13-at-11.23.01-1024x828.jpeg 1024w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/09\/WhatsApp-Image-2023-10-13-at-11.23.01-768x621.jpeg 768w\" sizes=\"(max-width: 1336px) 100vw, 1336px\" \/><\/p><p>\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-55235b7 elementor-widget elementor-widget-video\" data-id=\"55235b7\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=CYyUuIXzGgI&quot;,&quot;start&quot;:67,&quot;end&quot;:190,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-video .elementor-widget-container{overflow:hidden;transform:translateZ(0)}.elementor-widget-video .elementor-wrapper{aspect-ratio:var(--video-aspect-ratio)}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video .elementor-wrapper video{height:100%;width:100%;display:flex;border:none;background-color:#000}@supports not (aspect-ratio:1\/1){.elementor-widget-video .elementor-wrapper{position:relative;overflow:hidden;height:0;padding-bottom:calc(100% \/ var(--video-aspect-ratio))}.elementor-widget-video .elementor-wrapper iframe,.elementor-widget-video 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data-id=\"ee84257\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-594c62a elementor-tabs-view-horizontal elementor-widget elementor-widget-tabs\" data-id=\"594c62a\" data-element_type=\"widget\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tabs-wrapper{width:25%;flex-shrink:0}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tab-desktop-title.elementor-active{border-right-style:none}.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tab-desktop-title.elementor-active:after,.elementor-widget-tabs.elementor-tabs-view-vertical .elementor-tab-desktop-title.elementor-active:before{height:999em;width:0;right:0;border-right-style:solid}.elementor-widget-tabs.elementor-tabs-view-vertical 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.elementor-tabs-wrapper,.elementor-widget-tabs.elementor-tabs-alignment-end .elementor-tabs-wrapper,.elementor-widget-tabs.elementor-tabs-alignment-stretch .elementor-tabs-wrapper{display:flex}.elementor-widget-tabs.elementor-tabs-alignment-center .elementor-tabs-wrapper{justify-content:center}.elementor-widget-tabs.elementor-tabs-alignment-end .elementor-tabs-wrapper{justify-content:flex-end}.elementor-widget-tabs.elementor-tabs-alignment-stretch.elementor-tabs-view-horizontal .elementor-tab-title{width:100%}.elementor-widget-tabs.elementor-tabs-alignment-stretch.elementor-tabs-view-vertical .elementor-tab-title{height:100%}.elementor-tabs .elementor-tab-mobile-title{display:none}}<\/style>\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9361\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\">FOR TEACHER<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9362\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\">FOR SCIENTIFIC EXPLAINER<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9363\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9363\" aria-expanded=\"false\">ASSEMBLY SHEET<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9361\" aria-expanded=\"false\">FOR TEACHER<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9361\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9361\" tabindex=\"0\" hidden=\"false\"><p>It would seem a paradox, but it is better to change the initial choice: doing so doubles the probability of winning. How is this possible?<\/p><p>At the beginning there are three possible scenarios, each having probability 1\/3:<br \/>(1) The player chooses the first non-winning door (number 1), The host shows the other non-winning door, (number 2): by changing the player wins. By not changing he loses.<br \/>(2) The player chooses the second non-winning door (number 2). The handler chooses the other non-winning door (number 1): by changing, the player wins. By not changing, he loses.<br \/>(3) The player chooses the winning door. The handler shows one of the two losing doors. By changing, the player loses. By not changing, he wins. <br \/>In the first two scenarios the player wins only by changing; in the third scenario the changing player does not win: the &#8220;changing&#8221; strategy leads to victory two out of three times (2\/3), while the &#8220;not changing&#8221; strategy leads to victory in only one out of three cases (1\/3).<\/p><p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/MONTY_HALL_ENG_SOLUTIONS.png\" alt=\"\" width=\"1402\" height=\"810\" \/><\/p><p>\u00a0<\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9362\" aria-expanded=\"false\">FOR SCIENTIFIC EXPLAINER<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9362\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9362\" tabindex=\"0\" hidden=\"hidden\"><p>The resolution of this problem is so counter-intuitive that several academics did not recognize it until it was explained to them in detail. A simple way to understand it is to increase the number of doors, and to simplify you can use playing cards, the figure represents the winning card, the cards represent the doors.<\/p><p>Let&#8217;s put this time 4 doors, 3 losers and one winner. The player, as before, chooses one door, the host, however, shows two &#8211; losers, as before &#8211; and later asks the player if he wants to change or keep his initial choice. Thus there will be 3 out of 4 eventualities in which the player wins only if he changes and 1 out of 4 in which he wins only if he does not change. The result is valid and, indeed, is even clearer the more you increase the number of doors, and with cards it is very easy to increase iul number of doors at will.<\/p><p>\u00a0<\/p><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9363\" aria-expanded=\"false\">ASSEMBLY SHEET<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9363\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9363\" tabindex=\"0\" hidden=\"hidden\"><p><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/DIN_MONTYHALL_assembly_sheet.pdf\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-2081 size-full\" src=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall.png\" alt=\"\" width=\"2712\" height=\"1922\" srcset=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall.png 2712w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall-300x213.png 300w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall-1024x726.png 1024w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall-768x544.png 768w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall-1536x1089.png 1536w, https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/10\/DIN_assembly_sheet_MOntyHall-2048x1451.png 2048w\" sizes=\"(max-width: 2712px) 100vw, 2712px\" \/><\/a><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b34c165 elementor-widget elementor-widget-spacer\" data-id=\"b34c165\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 20-09-2023 *\/\n.elementor-column .elementor-spacer-inner{height:var(--spacer-size)}.e-con{--container-widget-width:100%}.e-con-inner>.elementor-widget-spacer,.e-con>.elementor-widget-spacer{width:var(--container-widget-width,var(--spacer-size));--align-self:var(--container-widget-align-self,initial);--flex-shrink:0}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container,.e-con>.elementor-widget-spacer>.elementor-widget-container{height:100%;width:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer{height:100%}.e-con-inner>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner,.e-con>.elementor-widget-spacer>.elementor-widget-container>.elementor-spacer>.elementor-spacer-inner{height:var(--container-widget-height,var(--spacer-size))}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty,.e-con>.elementor-widget-spacer.elementor-widget-empty{position:relative;min-height:22px;min-width:22px}.e-con-inner>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon,.e-con>.elementor-widget-spacer.elementor-widget-empty .elementor-widget-empty-icon{position:absolute;top:0;bottom:0;left:0;right:0;margin:auto;padding:0;width:22px;height:22px}<\/style>\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c2a37e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c2a37e8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d0b5d0b\" data-id=\"d0b5d0b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b20529 elementor-widget elementor-widget-heading\" data-id=\"2b20529\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">How to build<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-25047f7 elementor-section-full_width elementor-section-content-space-between elementor-section-height-default elementor-section-height-default\" data-id=\"25047f7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-22cb463\" data-id=\"22cb463\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1f14f81 elementor-widget elementor-widget-text-editor\" data-id=\"1f14f81\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<h6><strong>EXHIBIT MATERIAL DIN VERSION<br \/><\/strong><\/h6><ul><li>n. 1 vertical pallet 120&#215;200 cm &#8211; with square hole of 60&#215;60 cm<\/li><li>n. 1 base pallet 120&#215;80 cm<\/li><li>n. 3 small doors of different shapes<\/li><li>n. 1 TV template<\/li><li>n. 3 red MDF circles with numbers<\/li><li>n. 1 title panel 120&#215;20 cm<\/li><li>n. 1 printed TV back panel with instructions and pallet attachment system.<\/li><li>n. 3 wooden panels with holes to insert prizes (wooden shape) \/\/ to be placed behind the three small doors<\/li><li>n. 3 wooden templates, one prize and two sheep<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-65bce36\" data-id=\"65bce36\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f9896a3 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"f9896a3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong><span style=\"color: #333333; font-size: 17px; text-transform: uppercase;\">CLICK AND DOWNLOAD PRINT-READY .PDF FILES:<\/span><\/strong><\/p><p><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/ITA_Monty_Hall_panel_70x60cm_retro.pdf\">CARDBOARD PANEL MONTY HALL (retro) 70&#215;60 cm (ITA)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/ITA_Monty_Hall_panel_70x60cm_fronte.pdf\">CARDBOARD PANEL MONTY HALL (fronte) 70&#215;60 cm (ITA)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/FRA_Monty_Hall_panel_70x60cm_retour.pdf\">CARDBOARD PANEL MONTY HALL (retro) 70&#215;60 cm (FRA)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/FRA_Monty_Hall_panel_70x60cm_avant.pdf\">CARDBOARD PANEL MONTY HALL (fronte) 70&#215;60 cm (FRA)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/Monty_Hall_numbers_prize_variations.pdf\">MONTY HALL PRIZE NUMBERS (rectangle)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/Monty_Hall_prize.pdf\">MONTY HALL PRIZE (round)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/noprix_Cardboard.pdf\">NO-PRIX CARDBOARD (rectangle)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/prix_Cardboard.pdf\">PRIX CARDBOARD (rectangle)<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/prix_silohuette.pdf\">PRIX SILOHUETTE<\/a><br \/><a href=\"https:\/\/fabiomelicianiscience.com\/wp-content\/uploads\/2023\/10\/noprix_silohuette.pdf\">NO-PRIX SILOHUETTE<\/a><\/p><div>\u00a0<\/div>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4945b76 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4945b76\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e89cedf\" data-id=\"e89cedf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ee8b3e4 elementor-widget elementor-widget-gallery\" data-id=\"ee8b3e4\" data-element_type=\"widget\" data-settings=\"{&quot;gallery_layout&quot;:&quot;masonry&quot;,&quot;columns&quot;:2,&quot;gap&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:100,&quot;sizes&quot;:[]},&quot;overlay_description&quot;:&quot;caption&quot;,&quot;lazyload&quot;:&quot;yes&quot;,&quot;columns_tablet&quot;:2,&quot;columns_mobile&quot;:1,&quot;gap_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;gap_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:10,&quot;sizes&quot;:[]},&quot;overlay_background&quot;:&quot;yes&quot;,&quot;content_hover_animation&quot;:&quot;fade-in&quot;}\" data-widget_type=\"gallery.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor-pro - v3.16.0 - 20-09-2023 *\/\n.elementor-gallery__container{min-height:1px}.elementor-gallery-item{position:relative;overflow:hidden;display:block;text-decoration:none;border:solid var(--image-border-width) var(--image-border-color);border-radius:var(--image-border-radius)}.elementor-gallery-item__content,.elementor-gallery-item__overlay{height:100%;width:100%;position:absolute;top:0;left:0}.elementor-gallery-item__overlay{mix-blend-mode:var(--overlay-mix-blend-mode);transition-duration:var(--overlay-transition-duration);transition-property:mix-blend-mode,transform,opacity,background-color}.elementor-gallery-item__image.e-gallery-image{transition-duration:var(--image-transition-duration);transition-property:filter,transform}.elementor-gallery-item__content{display:flex;flex-direction:column;justify-content:var(--content-justify-content,center);align-items:center;text-align:var(--content-text-align);padding:var(--content-padding)}.elementor-gallery-item__content>div{transition-duration:var(--content-transition-duration)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(2){transition-delay:calc(var(--content-transition-delay) \/ 3)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(3){transition-delay:calc(var(--content-transition-delay) \/ 3 * 2)}.elementor-gallery-item__content.elementor-gallery--sequenced-animation>div:nth-child(4){transition-delay:calc(var(--content-transition-delay) \/ 3 * 3)}.elementor-gallery-item__description{color:var(--description-text-color,#fff);width:100%}.elementor-gallery-item__title{color:var(--title-text-color,#fff);font-weight:700;width:100%}.elementor-gallery__titles-container{display:flex;flex-wrap:wrap;justify-content:var(--titles-container-justify-content,center);margin-bottom:20px}.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item:after,.elementor-gallery__titles-container:not(.e--pointer-framed) .elementor-item:before{background-color:var(--galleries-pointer-bg-color-hover)}.elementor-gallery__titles-container:not(.e--pointer-framed) 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.elementor-item:after,.elementor-gallery__titles-container .e--pointer-double-line .elementor-item:before,.elementor-gallery__titles-container .e--pointer-overline .elementor-item:before,.elementor-gallery__titles-container .e--pointer-underline .elementor-item:after{height:var(--galleries-pointer-border-width)}.elementor-gallery-title{--space-between:10px;cursor:pointer;color:#6d7882;font-weight:500;position:relative;padding:7px 14px;transition:all .3s}.elementor-gallery-title--active{color:#495157}.elementor-gallery-title:not(:last-child){margin-right:var(--space-between)}.elementor-gallery-item__title+.elementor-gallery-item__description{margin-top:var(--description-margin-top)}.e-gallery-item.elementor-gallery-item{transition-property:all}.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-bottom,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-left,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-right,.e-gallery-item.elementor-animated-content .elementor-animated-item--enter-from-top,.e-gallery-item:focus .elementor-gallery__item-overlay-bg,.e-gallery-item:focus .elementor-gallery__item-overlay-content,.e-gallery-item:focus .elementor-gallery__item-overlay-content__description,.e-gallery-item:focus .elementor-gallery__item-overlay-content__title,.e-gallery-item:hover .elementor-gallery__item-overlay-bg,.e-gallery-item:hover .elementor-gallery__item-overlay-content,.e-gallery-item:hover .elementor-gallery__item-overlay-content__description,.e-gallery-item:hover .elementor-gallery__item-overlay-content__title{opacity:1}a.elementor-item.elementor-gallery-title{color:var(--galleries-title-color-normal)}a.elementor-item.elementor-gallery-title.elementor-item-active,a.elementor-item.elementor-gallery-title.highlighted,a.elementor-item.elementor-gallery-title:focus,a.elementor-item.elementor-gallery-title:hover{color:var(--galleries-title-color-hover)}a.elementor-item.elementor-gallery-title.elementor-item-active{color:var(--gallery-title-color-active)}.e-con-inner>.elementor-widget-gallery,.e-con>.elementor-widget-gallery{width:var(--container-widget-width);--flex-grow:var(--container-widget-flex-grow)}<\/style>\t\t<div class=\"elementor-gallery__container\">\n\t\t\t\t\t\t\t<div class=\"e-gallery-item elementor-gallery-item elementor-animated-content\">\n\t\t\t\t\t<div class=\"e-gallery-image elementor-gallery-item__image\" data-thumbnail=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/04\/moebelpalette-120-x-80-cm-moebelpalette-1-300x150.jpg\" data-width=\"300\" data-height=\"150\" aria-label=\"\" role=\"img\" ><\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__overlay\"><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__description\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tpallet\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"e-gallery-item elementor-gallery-item elementor-animated-content\">\n\t\t\t\t\t<div class=\"e-gallery-image elementor-gallery-item__image\" data-thumbnail=\"https:\/\/www.din.usi.ch\/blog\/wp-content\/uploads\/2023\/04\/WabenplattenGraphilite-1-300x150.jpg\" data-width=\"300\" data-height=\"150\" aria-label=\"\" role=\"img\" ><\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__overlay\"><\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__content\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-gallery-item__description\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\thoneycomb cardboard \/ laminated honeycomb cardboard\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>This paradox is inspired by the 1960s American TV quiz show Let&#8217;s make a deal, hosted by host Monty Hall. The game consists of three doors, behind each of which&hellip; <\/p>\n","protected":false},"author":1,"featured_media":1949,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,36],"tags":[38,51,26,50,31,28],"_links":{"self":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/1945"}],"collection":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/comments?post=1945"}],"version-history":[{"count":83,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/1945\/revisions"}],"predecessor-version":[{"id":3144,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/posts\/1945\/revisions\/3144"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media\/1949"}],"wp:attachment":[{"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/media?parent=1945"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/categories?post=1945"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.din.usi.ch\/blog\/wp-json\/wp\/v2\/tags?post=1945"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}