{"id":21708,"date":"2026-05-25T22:57:23","date_gmt":"2026-05-25T16:57:23","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/probability-of-not-choosing-a-red-button-there-are-9-yellow-buttons-and-8-red-buttons-in-a-bag-one-button-is-selected-at-rand\/"},"modified":"2026-05-25T22:57:23","modified_gmt":"2026-05-25T16:57:23","slug":"probability-of-not-choosing-a-red-button-there-are-9-yellow-buttons-and-8-red-buttons-in-a-bag-one-button-is-selected-at-rand","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/probability-of-not-choosing-a-red-button-there-are-9-yellow-buttons-and-8-red-buttons-in-a-bag-one-button-is-selected-at-rand\/","title":{"rendered":"Probability of not choosing a red button: There are 9 yellow buttons and 8 red buttons in a bag. One button is selected at rand"},"content":{"rendered":"\n<p>There are 9 yellow buttons and 8 red buttons in a bag. One button is selected at random. What is the probability of NOT selecting a red button?<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>9 yellow buttons<\/li><li>8 red buttons<\/li><\/ul>\n\n\n\n<p>Choose the best answer.<\/p>\n<ul class=\"quiz-options\"><li>9\/16<\/li><li>9\/17<\/li><li>8\/17<\/li><li>52.9%<\/li><li>17\/9<\/li><\/ul>","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2907,2909],"subject":[2748],"education_level":[1894],"class_list":["post-21708","mcq","type-mcq","status-publish","hentry","topic-basic-probability","topic-complement-probability","subject-probability-statistics","education_level-grade-8"],"mcq_note":"<p>For a \u201cnot\u201d event, count the outcomes outside the named event. This is the complement of the event.<\/p><ul><li>The complement of selecting red is selecting any other color.<\/li><li>There are 9 non-red buttons out of 17 total buttons.<\/li><li>So the probability is 9\/17 = 9\/17.<\/li><li>A complement probability can also be found by doing 1 minus the probability of the event.<\/li><\/ul><p>The correct answer is 9\/17. This matches the calculation or definition, so students should focus on the reasoning rather than only memorizing the final value.<\/p>","mcq_options":[{"right":"no","answer":"9\/16"},{"right":"yes","answer":"9\/17"},{"right":"no","answer":"8\/17"},{"right":"no","answer":"52.9%"},{"right":"no","answer":"17\/9"}],"multi_answers":"no","subject_terms":[{"id":2748,"title":"Probability &amp; Statistics","slug":"probability-statistics"}],"topic_terms":[{"id":2907,"title":"Basic Probability","slug":"basic-probability"},{"id":2909,"title":"Complement Probability","slug":"complement-probability"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21708","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21708"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21708"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21708"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21708"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}