{"id":21719,"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-blue-button-there-are-11-orange-buttons-and-6-blue-buttons-in-a-bag-one-button-is-selected-at-ra\/"},"modified":"2026-05-25T22:57:23","modified_gmt":"2026-05-25T16:57:23","slug":"probability-of-not-choosing-a-blue-button-there-are-11-orange-buttons-and-6-blue-buttons-in-a-bag-one-button-is-selected-at-ra","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/probability-of-not-choosing-a-blue-button-there-are-11-orange-buttons-and-6-blue-buttons-in-a-bag-one-button-is-selected-at-ra\/","title":{"rendered":"Probability of not choosing a blue button: There are 11 orange buttons and 6 blue buttons in a bag. One button is selected at ra"},"content":{"rendered":"\n<p>There are 11 orange buttons and 6 blue buttons in a bag. One button is selected at random. What is the probability of NOT selecting a blue button?<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>11 orange buttons<\/li><li>6 blue buttons<\/li><\/ul>\n\n\n\n<p>Choose the best answer.<\/p>\n<ul class=\"quiz-options\"><li>11\/17<\/li><li>6\/17<\/li><li>11\/16<\/li><li>17\/11<\/li><li>64.7%<\/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-21719","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 blue is selecting any other color.<\/li><li>There are 11 non-blue buttons out of 17 total buttons.<\/li><li>So the probability is 11\/17 = 11\/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 11\/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":"yes","answer":"11\/17"},{"right":"no","answer":"6\/17"},{"right":"no","answer":"11\/16"},{"right":"no","answer":"17\/11"},{"right":"no","answer":"64.7%"}],"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\/21719","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=21719"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21719"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21719"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21719"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}