{"id":263,"date":"2016-11-13T18:17:31","date_gmt":"2016-11-13T22:47:31","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=263"},"modified":"2016-11-13T18:17:31","modified_gmt":"2016-11-13T22:47:31","slug":"the-cereal-boxes","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=263","title":{"rendered":"The Cereal Boxes"},"content":{"rendered":"<p>\u201cMommy, I want my cereal, my Munchy Crunchies,\u201d pleaded Junior at the breakfast table. Mommy placed the cereal box, almond milk and honey in front of Junior.<\/p>\n<p>While munching away Junior was avidly reading the promotional text on the back of the cereal box.<\/p>\n<p>\u201cMommy, it says here that if I collect five famous Disney character cards, I will get a prize \u2013 a scout compass. There is one card in each box. Let\u2019s quickly buy five boxes of Munchy Crunchies so I can get the compass for my Boy Scout trips,\u201d suggested Junior with a bright enthusiastic look.<\/p>\n<p>Daddy overheard Junior. \u201cIt doesn\u2019t quite work that way, son. Maybe the five boxes we buy all have the same character card, or maybe just one different card.\u201d<\/p>\n<p>Junior was not discouraged. \u201cIt also says that cards have one of five colors on the other side: red, blue, green, yellow and orange,\u201d informed Junior. \u201cIf all of the five character cards have a red back side, I can also win a Speedo bicycle. Please, daddy, we have to buy more boxes today,\u201d pleaded Junior, munching away faster.<\/p>\n<p>\u201cHmm,\u201d said daddy.<\/p>\n<p>\u201cAnd, daddy, it also says that in one of every thousand boxes there is a gift card for a free trip to Disneyland for a family of three, with all expenses paid,\u201d said Junior beaming.<\/p>\n<p>Daddy became more interested. \u201cHmm, I will work out our chances for all this,\u201d he said prudently, grabbed his calculator and went to his work room.<\/p>\n<p>\u201cThanks, dad.\u201d Junior was beaming with pleasure, thinking of the great prizes he would win and how much he would enjoy going to Disneyland.<\/p>\n<p>Mommy cleaned the table. Then she made two cups of coffee and went to talk with daddy.<\/p>\n<p>&nbsp;<\/p>\n<p><em>Can you help daddy work out how many cereal boxes on the average he will have to buy for Junior to obtain the five Disney characters and win a scout compass?<\/em><\/p>\n<p><em>How many cereal boxes on average will win the red bicycle?<\/em><\/p>\n<p><em>And how many boxes on average for a family trip to Disneyland?<\/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-263\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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-263\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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-263\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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=263&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>\u201cMommy, I want my cereal, my Munchy Crunchies,\u201d pleaded Junior at the breakfast table. Mommy placed the cereal box, almond milk and honey in front of Junior. While munching away Junior was avidly reading the promotional text on the back of the cereal box. \u201cMommy, it says here that if I collect five famous Disney [&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-263\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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-263\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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-263\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=263&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=263&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":[10],"tags":[69,68],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-4f","jetpack-related-posts":[{"id":686,"url":"https:\/\/www.blogs.euni.org\/?p=686","url_meta":{"origin":263,"position":0},"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":[]},{"id":367,"url":"https:\/\/www.blogs.euni.org\/?p=367","url_meta":{"origin":263,"position":1},"title":"The Seating Arrangement","date":"March 31, 2017","format":false,"excerpt":"A dating club arranges meetings at concerts for its members. The club will buy a certain number of random adjacent concert seats for some male and female members. If a man sits next to a woman, the club considers this a date opportunity. For the coming concert, the club bought\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":200,"url":"https:\/\/www.blogs.euni.org\/?p=200","url_meta":{"origin":263,"position":2},"title":"The Mayan Gate","date":"September 3, 2016","format":false,"excerpt":"Indiana Jones faced a large stone gate deep down in a Yucatan cave. He thought it would lead to the inner Earth \u2013 to Agartha, the mysterious land discovered by Admiral Richard Byrd after accidentally flying into it through an opening in the North Pole. Junior held the torch to\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":372,"url":"https:\/\/www.blogs.euni.org\/?p=372","url_meta":{"origin":263,"position":3},"title":"An Olympic Swimming Team","date":"April 10, 2017","format":false,"excerpt":"Jack is part of a ten member Olympic swimming team. A 500 m relay race is to be run with five contestants. What is the probability that Jack will be among the five contestants chosen?","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":361,"url":"https:\/\/www.blogs.euni.org\/?p=361","url_meta":{"origin":263,"position":4},"title":"A Medieval Tournament","date":"March 29, 2017","format":false,"excerpt":"Lord Highcastle of the Moors was holding a tournament in which the first event would be jousting between the three knights Godfrey, Hotspur and the Black Knight. The winner of this event would receive the hand of Lady Marion and a mansion with a large estate. The knight winning two\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":182,"url":"https:\/\/www.blogs.euni.org\/?p=182","url_meta":{"origin":263,"position":5},"title":"The Crooked Minter","date":"August 21, 2016","format":false,"excerpt":"King Midas suspected that his minter of gold coins, Horatio, was stealing from the mint by inserting false coins. As he had 1000 boxes, each containing 100 coins, ready for shipment to King Neptune to pay for construction of some luxury ships, he wondered how he best could check on\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\/263"}],"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=263"}],"version-history":[{"count":3,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/263\/revisions"}],"predecessor-version":[{"id":266,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/263\/revisions\/266"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}