{"id":225685,"date":"2025-06-04T11:38:46","date_gmt":"2025-06-04T11:38:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225685"},"modified":"2025-06-04T11:38:48","modified_gmt":"2025-06-04T11:38:48","slug":"sam-and-erica-are-playing-a-board-game","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/04\/sam-and-erica-are-playing-a-board-game\/","title":{"rendered":"Sam and Erica are playing a board game"},"content":{"rendered":"\n

Sam and Erica are playing a board game. They spin a pointer to determine whether to move forward or back. They toss a number cube to determine how many spaces to move. What is the probability of moving forward an even number of spaces<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

To solve this problem, we need to calculate the probability of two independent events happening together:<\/p>\n\n\n\n

    \n
  1. Spinning the pointer to “Move Forward”.<\/strong><\/li>\n\n\n\n
  2. Tossing an even number on the number cube.<\/strong><\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Step-by-step Analysis:<\/h3>\n\n\n\n

    1. Spin Probability (Move Forward):<\/strong><\/h4>\n\n\n\n

    From the image, the spinner is divided into two sections:<\/p>\n\n\n\n

      \n
    • Green: “Move Forward”<\/li>\n\n\n\n
    • Blue: “Move Back”<\/li>\n<\/ul>\n\n\n\n

      We can see the spinner is split equally into two parts. So the probability of landing on “Move Forward” is: P(Move Forward)=12P(\\text{Move Forward}) = \\frac{1}{2}<\/p>\n\n\n\n

      \n\n\n\n

      2. Number Cube Probability (Even Number):<\/strong><\/h4>\n\n\n\n

      The number cube shown has 6 faces, presumably numbered from 1 to 6. Among these numbers, the even numbers<\/strong> are: 2, 4, and 6. So: P(Even Number)=36=12P(\\text{Even Number}) = \\frac{3}{6} = \\frac{1}{2}<\/p>\n\n\n\n

      \n\n\n\n

      3. Combined Probability:<\/strong><\/h4>\n\n\n\n

      We are looking for the probability that both<\/strong> of the following happen:<\/p>\n\n\n\n

        \n
      • The player moves forward, and<\/strong><\/li>\n\n\n\n
      • The number of spaces is an even number.<\/li>\n<\/ul>\n\n\n\n

        Since these are independent events, we multiply their probabilities: P(Forward and Even)=P(Move Forward)\u00d7P(Even Number)=12\u00d712=14P(\\text{Forward and Even}) = P(\\text{Move Forward}) \\times P(\\text{Even Number}) = \\frac{1}{2} \\times \\frac{1}{2} = \\frac{1}{4}<\/p>\n\n\n\n

        \n\n\n\n

        \u2705 Final Answer: \u00bc<\/strong><\/h3>\n\n\n\n

        So, the correct choice is:<\/p>\n\n\n\n

        \n

        \u00bc<\/strong><\/p>\n<\/blockquote>\n\n\n\n

        \n\n\n\n

        Explanation <\/h3>\n\n\n\n

        Sam and Erica are playing a board game that uses two tools to determine their move: a spinner and a number cube. The spinner decides the direction \u2014 either forward or backward \u2014 and the number cube decides how many spaces to move. The question asks for the probability of moving forward an even number of spaces<\/strong>, which means we need to consider both<\/strong> the direction (forward) and the number of spaces (even).<\/p>\n\n\n\n

        First, let\u2019s examine the spinner. It is equally divided into two halves: one half says \u201cMove Forward,\u201d and the other says \u201cMove Back.\u201d Because the spinner is evenly divided, the chance of landing on either section is \u00bd.<\/p>\n\n\n\n

        Next, consider the number cube. Typically, a number cube (or die) has six faces numbered from 1 to 6. Out of these, half \u2014 the numbers 2, 4, and 6 \u2014 are even. Therefore, the probability of rolling an even number is 3 out of 6, or \u00bd.<\/p>\n\n\n\n

        To find the overall probability of both<\/strong> spinning \u201cMove Forward\u201d and rolling an even number, we multiply the two independent probabilities:
        \u00bd (move forward) \u00d7 \u00bd (even number) = \u00bc.<\/p>\n\n\n\n

        This gives us the final answer: there is a \u00bc probability<\/strong> that the player will move forward an even number of spaces. This kind of problem is a classic example of using the multiplication rule for independent events in probability.<\/p>\n\n\n\n

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

        Sam and Erica are playing a board game. They spin a pointer to determine whether to move forward or back. They toss a number cube to determine how many spaces to move. What is the probability of moving forward an even number of spaces The Correct Answer and Explanation is: To solve this problem, we […]<\/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-225685","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225685","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=225685"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225685\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225685"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225685"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225685"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}