{"id":269962,"date":"2025-07-25T03:23:32","date_gmt":"2025-07-25T03:23:32","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=269962"},"modified":"2025-07-25T03:24:22","modified_gmt":"2025-07-25T03:24:22","slug":"in-a-horse-race-with-6-horses-you-make-a-bet-by-predicting-the-ranking-of-all-6-horses","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/25\/in-a-horse-race-with-6-horses-you-make-a-bet-by-predicting-the-ranking-of-all-6-horses\/","title":{"rendered":"In a horse race with 6 horses, you make a bet by predicting the ranking of all 6 horses."},"content":{"rendered":"\n

In a horse race with 6 horses, you make a bet by predicting the ranking of all 6 horses. If you place your bet at random, what is the probability that you will get the first and second horse correct and in the correct order? Enter your answer as a simplified fraction. Provide your answer below: FEEDBACK SUBMIT<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve this problem, we need to determine the probability of selecting the first and second horses correctly and in the correct order out of 6 horses.<\/p>\n\n\n\n

Step-by-step Breakdown:<\/h3>\n\n\n\n
    \n
  1. Total Possible Outcomes:<\/strong>
    When you place a bet on all 6 horses, you’re trying to predict the exact order in which they finish. There are 6 horses, so the total number of possible outcomes (or permutations) is given by: 6!=6\u00d75\u00d74\u00d73\u00d72\u00d71=7206! = 6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1 = 7206!=6\u00d75\u00d74\u00d73\u00d72\u00d71=720 So, there are 720 possible ways the 6 horses can finish the race.<\/li>\n\n\n\n
  2. Correct First and Second Horses:<\/strong>
    Now, you are only concerned about the first and second horses being correct, and in the correct order. This means:
    • You must choose the correct horse to finish first.<\/li>
    • You must then choose the correct horse to finish second from the remaining 5 horses.<\/li><\/ul>There are only one correct choice<\/strong> for the first horse, and once that choice is made, there is only one correct choice<\/strong> for the second horse. So, the number of favorable outcomes is 1 (correct first horse) \u00d7 1 (correct second horse) = 1.<\/li>\n\n\n\n
    • Probability Calculation:<\/strong>
      The probability of getting the first and second horses correct and in the correct order is the number of favorable outcomes divided by the total possible outcomes: Probability=1720\\text{Probability} = \\frac{1}{720}Probability=7201\u200b<\/li>\n<\/ol>\n\n\n\n

      Conclusion:<\/h3>\n\n\n\n

      The probability that you will get the first and second horses correct and in the correct order is:1720\\boxed{\\frac{1}{720}}7201\u200b\u200b<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      In a horse race with 6 horses, you make a bet by predicting the ranking of all 6 horses. If you place your bet at random, what is the probability that you will get the first and second horse correct and in the correct order? Enter your answer as a simplified fraction. Provide your answer […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-269962","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269962","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=269962"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269962\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}