{"id":279656,"date":"2025-08-04T09:36:59","date_gmt":"2025-08-04T09:36:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=279656"},"modified":"2025-08-04T09:37:01","modified_gmt":"2025-08-04T09:37:01","slug":"martin-puts-two-bowls-of-fruit-out-for-his-friends","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/04\/martin-puts-two-bowls-of-fruit-out-for-his-friends\/","title":{"rendered":"Martin puts two bowls of fruit out for his friends."},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/image-338.png\" alt=\"\" class=\"wp-image-279657\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>9\/80<\/strong><\/p>\n\n\n\n<p>This problem asks for the probability of two independent events happening together. The two events are:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Choosing a green grape from the first bowl.<\/li>\n\n\n\n<li>Choosing a seedless tangerine from the second bowl.<\/li>\n<\/ol>\n\n\n\n<p>Since the choice of a grape does not influence the choice of a tangerine, these events are independent. To find the probability of both events occurring, we must calculate the probability of each event separately and then multiply them together.<\/p>\n\n\n\n<p><strong>Step 1: Find the probability of choosing a green grape.<\/strong><br>First, we determine the total number of grapes in the bowl.<br>Total grapes = 9 green grapes + 15 red grapes = 24 grapes.<br>The number of favorable outcomes (choosing a green grape) is 9.<br>The probability of choosing a green grape is the number of green grapes divided by the total number of grapes.<br>P(green grape) = 9\/24<br>This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3.<br>P(green grape) = 9 \u00f7 3 \/ 24 \u00f7 3 = 3\/8.<\/p>\n\n\n\n<p><strong>Step 2: Find the probability of choosing a seedless tangerine.<\/strong><br>Next, we determine the total number of tangerines in the bowl.<br>Total tangerines = 7 seeded tangerines + 3 seedless tangerines = 10 tangerines.<br>The number of favorable outcomes (choosing a seedless tangerine) is 3.<br>The probability of choosing a seedless tangerine is the number of seedless tangerines divided by the total number of tangerines.<br>P(seedless tangerine) = 3\/10.<\/p>\n\n\n\n<p><strong>Step 3: Multiply the probabilities.<\/strong><br>To find the probability of choosing a green grape AND a seedless tangerine, we multiply the individual probabilities.<br>P(green grape and seedless tangerine) = P(green grape) \u00d7 P(seedless tangerine)<br>P(green grape and seedless tangerine) = (3\/8) \u00d7 (3\/10) = 9\/80.<\/p>\n\n\n\n<p>The final probability is 9\/80, which cannot be simplified further.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/08\/learnexams-banner5-212.jpeg\" alt=\"\" class=\"wp-image-279658\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: 9\/80 This problem asks for the probability of two independent events happening together. The two events are: Since the choice of a grape does not influence the choice of a tangerine, these events are independent. To find the probability of both events occurring, we must calculate the probability of [&hellip;]<\/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-279656","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279656","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=279656"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279656\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=279656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=279656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=279656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}