{"id":43969,"date":"2025-06-30T11:57:00","date_gmt":"2025-06-30T11:57:00","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=43969"},"modified":"2025-06-30T11:57:13","modified_gmt":"2025-06-30T11:57:13","slug":"a-bag-of-poker-chips-contains-4-purple-6-red-3-pink-and-2-black-chips","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/a-bag-of-poker-chips-contains-4-purple-6-red-3-pink-and-2-black-chips\/","title":{"rendered":"A bag of poker chips contains 4 purple, 6 red, 3 pink, and 2 black chips"},"content":{"rendered":"\n<p>A bag of poker chips contains 4 purple, 6 red, 3 pink, and 2 black chips. What is the probability of pulling from the bag:<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the probability of pulling a specific chip from the bag, we first need to know the total number of chips in the bag.<\/p>\n\n\n\n<p>The total number of chips is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 purple chips<\/li>\n\n\n\n<li>6 red chips<\/li>\n\n\n\n<li>3 pink chips<\/li>\n\n\n\n<li>2 black chips<\/li>\n<\/ul>\n\n\n\n<p>Adding these up:<br>4 + 6 + 3 + 2 = 15 total chips.<\/p>\n\n\n\n<p>The probability of an event is calculated using the formula: P(Event)=Number&nbsp;of&nbsp;favorable&nbsp;outcomesTotal&nbsp;number&nbsp;of&nbsp;possible&nbsp;outcomesP(\\text{Event}) = \\frac{\\text{Number of favorable outcomes}}{\\text{Total number of possible outcomes}}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Probability of pulling a purple chip<\/h3>\n\n\n\n<p>The number of purple chips is 4. So, the probability of drawing a purple chip is: P(Purple)=415P(\\text{Purple}) = \\frac{4}{15}<\/p>\n\n\n\n<p>This means that the probability of pulling a purple chip is 415\\frac{4}{15}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2: Probability of pulling a red chip<\/h3>\n\n\n\n<p>The number of red chips is 6. Therefore, the probability of drawing a red chip is: P(Red)=615=25P(\\text{Red}) = \\frac{6}{15} = \\frac{2}{5}<\/p>\n\n\n\n<p>This shows that the probability of drawing a red chip is 25\\frac{2}{5}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 3: Probability of pulling a pink chip<\/h3>\n\n\n\n<p>The number of pink chips is 3. Hence, the probability of drawing a pink chip is: P(Pink)=315=15P(\\text{Pink}) = \\frac{3}{15} = \\frac{1}{5}<\/p>\n\n\n\n<p>So, the probability of pulling a pink chip is 15\\frac{1}{5}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 4: Probability of pulling a black chip<\/h3>\n\n\n\n<p>The number of black chips is 2. Therefore, the probability of drawing a black chip is: P(Black)=215P(\\text{Black}) = \\frac{2}{15}<\/p>\n\n\n\n<p>So, the probability of pulling a black chip is 215\\frac{2}{15}.<\/p>\n\n\n\n<p>In summary, the total number of chips is 15, and the probabilities of pulling a purple, red, pink, or black chip are as calculated above. The total probability for all possible events should sum to 1, as the sum of all possible outcomes must equal certainty.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A bag of poker chips contains 4 purple, 6 red, 3 pink, and 2 black chips. What is the probability of pulling from the bag: The correct answer and explanation is: To determine the probability of pulling a specific chip from the bag, we first need to know the total number of chips in the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-43969","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43969","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=43969"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43969\/revisions"}],"predecessor-version":[{"id":43970,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43969\/revisions\/43970"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43969"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43969"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43969"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}