{"id":862,"date":"2019-01-30T18:46:16","date_gmt":"2019-01-30T22:46:16","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=862"},"modified":"2019-01-30T18:46:24","modified_gmt":"2019-01-30T22:46:24","slug":"the-three-cards","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=862","title":{"rendered":"The Three Cards"},"content":{"rendered":"\n<p>There was excitement again at the Happy Valley Card Club one Saturday\nafternoon. People were gathered around a table where a dealer was dealing three\ncards from a deck face down on the table, then, a bit later, three cards face up.<\/p>\n\n\n\n<p>Jake was curious and approached the dealer.<\/p>\n\n\n\n<p>\u201cHow\u2019s this game work, Charlie?\u201d asked Jake.<\/p>\n\n\n\n<p>\u201cWell, you bet five dollars, then I shuffle and lay three cards face\ndown on the table, after which you guess what the suits of the cards are,\u201d said\nCharlie.<\/p>\n\n\n\n<p>\u201cYou mean like two clubs and a heart, or three spades, or two diamonds\nand a club, and so on?\u201d asked Jake.<\/p>\n\n\n\n<p>\u201cThat\u2019s right, Jake. If you guess the suits correctly, then you win ten\ndollars,\u201d said Charlie.<\/p>\n\n\n\n<p>\u201cIf your guess is wrong, then I\u2019ll shuffle and lay down three cards\nface up. If there are no aces among the three cards, then you get another\nchance to guess the next three cards I deal face down for free,\u201d said Charlie.<\/p>\n\n\n\n<p>\u201cHmm, sounds interesting. Let\u2019s give it a go,\u201d said Jake.<\/p>\n\n\n\n<p><em>After 10 rounds of arriving at a\nwin or ace face up in this game, how much money would you say Jake won or lost?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-862\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-862\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-862\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>There was excitement again at the Happy Valley Card Club one Saturday afternoon. People were gathered around a table where a dealer was dealing three cards from a deck face down on the table, then, a bit later, three cards face up. Jake was curious and approached the dealer. \u201cHow\u2019s this game work, Charlie?\u201d asked [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-862\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-862\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-862\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=862&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[14,50,10],"tags":[278,279],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-dU","jetpack-related-posts":[{"id":865,"url":"https:\/\/www.blogs.euni.org\/?p=865","url_meta":{"origin":862,"position":0},"title":"The Four Card Deal","date":"February 13, 2019","format":false,"excerpt":"Jake dropped by the Happy Valley Card Club to see what was happening on a snowy winter\u2019s Friday evening in December. Jake enjoyed the conviviality and high-spirited discussions about the probabilities of card games in the lounge by the bar. Jake saw a large gathering around a large rectangular table,\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":870,"url":"https:\/\/www.blogs.euni.org\/?p=870","url_meta":{"origin":862,"position":1},"title":"Picking a High Card","date":"February 23, 2019","format":false,"excerpt":"Jake, now a full club member, was back again at the Happy Valley Card Club on a cold and snowy Friday evening. As usual, there were many people standing around a large rectangular table by the bar, where Charlie, the dealer, was busy having someone pick a card from a\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":259,"url":"https:\/\/www.blogs.euni.org\/?p=259","url_meta":{"origin":862,"position":2},"title":"Three Dice Cups","date":"November 6, 2016","format":false,"excerpt":"Jackson was concentrating on the three cups filled with dice placed in front of him on the table covered with green felt, wondering which to choose. \u201cSome say that the result of any of the cups will be the same, just a fifty percent chance,\u201d said Snipes the slick gambler.\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":78,"url":"https:\/\/www.blogs.euni.org\/?p=78","url_meta":{"origin":862,"position":3},"title":"The Three Hats","date":"May 24, 2016","format":false,"excerpt":"A billionaire enters a reality show saloon with five bellboy hats, three red and two white. \"I need three volunteers to play a game for a million dollars,\" he said. \"Any takers?\" Three men put down their beer mugs immediately and volunteered: Jack, Tobias and Charlie. \"Very well. Set up\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":677,"url":"https:\/\/www.blogs.euni.org\/?p=677","url_meta":{"origin":862,"position":4},"title":"The Flying Card","date":"August 28, 2018","format":false,"excerpt":"At the Lucky Duck casino Nick, the dealer, was sitting at a green felt table and practicing fancy acrobatic shuffles with a deck of cards when suddenly one card flew away and sailed into a nearby plant bed with some petunias and foliage. \u201cI\u2019ll bet ya 100 bucks you can\u2019t\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":656,"url":"https:\/\/www.blogs.euni.org\/?p=656","url_meta":{"origin":862,"position":5},"title":"The Deck Split","date":"July 29, 2018","format":false,"excerpt":"At the Royal Flush card club one evening, there was a lively discussion among its members about splitting a deck of cards into two equal piles after a thorough shuffle, in which, respectively, there would be exactly ten red cards in one pile and exactly ten black cards in the\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/862"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=862"}],"version-history":[{"count":1,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/862\/revisions"}],"predecessor-version":[{"id":863,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/862\/revisions\/863"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}