{"id":878,"date":"2019-03-17T19:32:21","date_gmt":"2019-03-17T23:32:21","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=878"},"modified":"2019-03-17T19:32:28","modified_gmt":"2019-03-17T23:32:28","slug":"the-cinema-queue","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=878","title":{"rendered":"The Cinema Queue"},"content":{"rendered":"\n<p>One rainy Saturday evening some years ago in lower Manhattan, Jane, a\nticket girl, rushed into the &nbsp;booth of\nthe Roxy movie theatre to prepare things for the night shift.<\/p>\n\n\n\n<p>As usual, Eusebio, the evening shift ticket seller, had left the booth\nin a mess, with an ashtray full of thin butts, and Jane was shocked to see the\ncash register empty \u2013 no bills to give change with.<\/p>\n\n\n\n<p>Jane looked up to see some Japanese tourists lining up to buy tickets\nfor the five-dollar late movie of the evening \u201cThe Seven Samurai\u201d, when a toothy,\nsmiling and bowing Japanese who seemed to be the tour guide stuck his face in into\nthe ticket window.<\/p>\n\n\n\n<p>\u201cKon&#8217;nichiwa, me Mr. Fujimori. We ten tourist from Osaka, see samurai\nmovie. Half have 10 dollar bill, other half have five dollar bill. You give\nchange, buy ticket, no problem, ok?\u201d <\/p>\n\n\n\n<p>\u201cSure, Mr. Fujimori, I\u2019ll do what I can to give you all correct change,\u201d\nsaid Jane politely, feeling a mounting panic, knowing that the cashbox was\nempty. <\/p>\n\n\n\n<p>\u201cWhat shall I do, what shall I do\u2026\u201d spun around in her head, \u201cWhat if\nthe first person to buy a ticket gives me a ten dollar bill? I won\u2019t have any\nchange to give back.\u201d <\/p>\n\n\n\n<p>Then Jane got a bright idea, which she implemented with the aid of Mr.\nFujimori, and all tickets were sold with correct change given so that Jane\nended up with fifty dollars in the till.<\/p>\n\n\n\n<p><em>What would you say was the bright\nidea Jane got to solve this problem?<\/em><\/p>\n\n\n\n<p><em>What would be the probability of\nsuccessfully terminating each ticket transaction without any problems giving change\nif the Japanese in the queue had been lined up at random?<\/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-878\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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-878\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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-878\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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=878&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>One rainy Saturday evening some years ago in lower Manhattan, Jane, a ticket girl, rushed into the &nbsp;booth of the Roxy movie theatre to prepare things for the night shift. As usual, Eusebio, the evening shift ticket seller, had left the booth in a mess, with an ashtray full of thin butts, and Jane was [&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-878\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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-878\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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-878\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=878&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=878&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":[14,10],"tags":[288,285],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-ea","jetpack-related-posts":[{"id":470,"url":"https:\/\/www.blogs.euni.org\/?p=470","url_meta":{"origin":878,"position":0},"title":"The Roxy Theater","date":"September 27, 2017","format":false,"excerpt":"It was 10 pm in the midwestern town of Dry Gulch, and the last show at the Roxy theater had just ended with all moviegoers gone home. \u201cHey Molly, how many people attended the last movie \u2019Dead Man\u2019s Canyon,\u2019 starring John Waylon and Mary Pineworthy,\u201d shouted the theater manager Barney\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":210,"url":"https:\/\/www.blogs.euni.org\/?p=210","url_meta":{"origin":878,"position":1},"title":"Gifts of the Wild Weed Band","date":"September 14, 2016","format":false,"excerpt":"The Wild Weed Band had just completed its concert on a fine day in August and was reaping enthusiastic and noisy applause from the five thousand fans extending far beyond the band stage. \u201cAs it's my birthday today, I feel generous,\u201d shouted the band\u2019s singer Magno Solo jubilantly. \u201cAll of\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":380,"url":"https:\/\/www.blogs.euni.org\/?p=380","url_meta":{"origin":878,"position":2},"title":"Cashing a Check","date":"April 30, 2017","format":false,"excerpt":"Mr. Jackson went to cash a thousand dollar check. He requested some one dollar bills, ten times as many two dollar bills, fifteen times as many five dollar bills and the rest in ten dollar bills. How many one, two, five and ten dollar bills might he have received?","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":453,"url":"https:\/\/www.blogs.euni.org\/?p=453","url_meta":{"origin":878,"position":3},"title":"The Globe Balls Quiz Show","date":"September 16, 2017","format":false,"excerpt":"The host of the show, Barnstorm McDoodle, stood on an elevated podium studded with multi-colored lights. Barnstorm was wearing a jacket splattered with bright small reflectors, flashing a wide Hollywood smile under a pencil thin moustache \u2013 his thick, abundant black hair extending backwards like freshly plowed furrows in a\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":897,"url":"https:\/\/www.blogs.euni.org\/?p=897","url_meta":{"origin":878,"position":4},"title":"Meeting at the Mall","date":"April 25, 2019","format":false,"excerpt":"Sally Jones arrived at the Mega Market Mall and slid her white Ford Fiesta in among eight other cars in a parking section that could accommodate nine. Sally received a call from Molly while parking. \u201cI\u2019m at a restaurant right now lunching with Jane, Sally, but we\u2019ll soon be off\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":686,"url":"https:\/\/www.blogs.euni.org\/?p=686","url_meta":{"origin":878,"position":5},"title":"A Basket of Fruit","date":"September 24, 2018","format":false,"excerpt":"\u201cI hear the jingle of the fruit vendor Zoltan passing by, Lennie,\u201d said mommy. \u201cWon\u2019t you please run out and buy some fruit for your lunch box next week, and take this basket.\u201d \u201cSure, mommy.\u201d Lennie ran out with the basked to catch Zoltan before he rode away on his\u2026","rel":"","context":"In &quot;Combinations&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\/878"}],"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=878"}],"version-history":[{"count":1,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/878\/revisions"}],"predecessor-version":[{"id":879,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/878\/revisions\/879"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}