{"id":59,"date":"2020-03-03T22:25:06","date_gmt":"2020-03-03T22:25:06","guid":{"rendered":"https:\/\/vanderhydeus.wordpress.com\/?p=59"},"modified":"2022-05-26T23:05:37","modified_gmt":"2022-05-26T23:05:37","slug":"new-monty-hall-door-variant","status":"publish","type":"post","link":"https:\/\/vanderhyde.us\/index.php\/2020\/03\/03\/new-monty-hall-door-variant\/","title":{"rendered":"New Monty Hall door variant"},"content":{"rendered":"<p>(The inspiration came from a student&#8217;s submission for Remake Candyland.)<\/p>\n<p>Three people play a board game. The first to reach the end of the track wins. You each have a favorite candy, and there are three cards randomly shuffled, one for each candy. The player, on their turn, draws a card. If it is their card, they advance a space. If it is someone else&#8217;s card, the other player advances a space. The player can draw once more if they choose.<\/p>\n<p>We can restate this as the Monty Hall game: The player chooses a card but does not reveal it. A neutral game master looks at the other two cards and reveals one that is not the player&#8217;s card. The player can choose to keep their choice or switch. Probability would dictate that it is always better to switch.<\/p>\n<p>We can mix this up by having a biased party look at the other two cards and choose whether to allow the choice or not.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(The inspiration came from a student&#8217;s submission for Remake Candyland.) Three people play a board game. The first to reach the end of the track wins. You each have a favorite candy, and there are three cards randomly shuffled, one for each candy. The player, on their turn, draws a card. If it is their [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[5],"_links":{"self":[{"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/posts\/59"}],"collection":[{"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/comments?post=59"}],"version-history":[{"count":1,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/posts\/59\/revisions"}],"predecessor-version":[{"id":90,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/posts\/59\/revisions\/90"}],"wp:attachment":[{"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/media?parent=59"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/categories?post=59"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vanderhyde.us\/index.php\/wp-json\/wp\/v2\/tags?post=59"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}