{"id":384,"date":"2017-05-11T17:59:58","date_gmt":"2017-05-11T21:59:58","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=384"},"modified":"2017-05-11T17:59:58","modified_gmt":"2017-05-11T21:59:58","slug":"the-elevator","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=384","title":{"rendered":"The Elevator"},"content":{"rendered":"<p>At the hotel Excelsior, Melvyn had stopped by the security office run by his friend Zack. They were watching the elevator on the split screen monitor, with one screen for each of the ten floors of the hotel and the ground floor.<\/p>\n<p>\u201cZack, you see the seven people entering the elevator on the ground floor?\u201d<\/p>\n<p>\u201cSure, Melvyn, especially that hot blonde that just wiggled in before the door closed,\u201d said Zack, chewing on his bubble gum.<\/p>\n<p>\u201cZack, I\u2019ll bet you a hundred bucks that there will not be a group of exactly three people getting off the elevator at any floor,\u201d said Melvyn.<\/p>\n<p>\u201cYou\u2019re on, I could really use a hundred bucks,\u201d chuckled Zack.<\/p>\n<p>\u201cAre you really sure that three persons will be getting off at some floor?\u201d quieried Melvyn, raising an eyebrow.<\/p>\n<p>\u201cThat\u2019s what I\u2019m betting on, Melvyn.\u201d<\/p>\n<p>\u201cWell, let\u2019s see how it goes, Zack.\u201d Melvyn made himself comfortable in an armchair to watch the monitor.<\/p>\n<p><em>What do you figure are the chances that Melvyn will win his bet with Zack?<\/em><\/p>\n<p><em>Can you work out the probability that only one person gets off the elevator at each stop?<\/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-384\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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-384\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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-384\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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=384&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>At the hotel Excelsior, Melvyn had stopped by the security office run by his friend Zack. They were watching the elevator on the split screen monitor, with one screen for each of the ten floors of the hotel and the ground floor. \u201cZack, you see the seven people entering the elevator on the ground floor?\u201d [&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-384\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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-384\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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-384\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=384&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=384&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":[29,10],"tags":[107],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-6c","jetpack-related-posts":[{"id":926,"url":"https:\/\/www.blogs.euni.org\/?p=926","url_meta":{"origin":384,"position":0},"title":"The Swimming Pools","date":"June 23, 2019","format":false,"excerpt":"One sunny Saturday afternoon, Melvyn, Sam and Bart were sitting around a parasol table enjoying some drinks by the swimming pool at the Sasquatch Hills country club, discussing the merits of their own swimming pool pumps. \u201cI know we all have the same pool size, as it was installed by\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":120,"url":"https:\/\/www.blogs.euni.org\/?p=120","url_meta":{"origin":384,"position":1},"title":"The Quiz Show","date":"July 1, 2016","format":false,"excerpt":"At a televised quiz show, the contestant who is standing on a platform is told to choose between two elevator doors facing him. One of the doors would lead to a wonderful prize, the other to an onerous task. In front of each elevator door was placed a uniformed sentinel,\u2026","rel":"","context":"In &quot;Logic&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":677,"url":"https:\/\/www.blogs.euni.org\/?p=677","url_meta":{"origin":384,"position":2},"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":393,"url":"https:\/\/www.blogs.euni.org\/?p=393","url_meta":{"origin":384,"position":3},"title":"The Triple Pyramid","date":"May 28, 2017","format":false,"excerpt":"A man named Chadwick wanted to build a square pyramid with three levels to house his wife and kids. Chadwick wanted the ground floor to be 2000 square feet larger in area than the first floor, which would have 2000 square feet more than the second floor, where he figured\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":552,"url":"https:\/\/www.blogs.euni.org\/?p=552","url_meta":{"origin":384,"position":4},"title":"The Fibonacci Demo","date":"December 30, 2017","format":false,"excerpt":"\u201cYou lose again, Lenny\u201c sneered Snipe after his loaded dice turned up another seven on the green felt table mat. \u201cNow you owe me a hundred dollars. Hand it over now,\u201d demanded Snipe, hand extended. \u201cWell. . . seems you have had an extraordinary streak of luck, Snipe,\u201d replied Lenny,\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":128,"url":"https:\/\/www.blogs.euni.org\/?p=128","url_meta":{"origin":384,"position":5},"title":"The Twelve Shields","date":"July 8, 2016","format":false,"excerpt":"Twelve captured soldiers were presented to Tamerlane, the Turco-Mongol conqueror, in his palace. \u201cI feel generous today as it is the birthday of my favorite concubine, Lalila, and we have killed enough people this week and built sufficient skull pyramids. You all fought bravely against your capture.\u201d \u201cEach of you\u2026","rel":"","context":"In &quot;Probability&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\/384"}],"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=384"}],"version-history":[{"count":3,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/384\/revisions"}],"predecessor-version":[{"id":387,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/384\/revisions\/387"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}