{"id":228615,"date":"2025-06-07T12:29:47","date_gmt":"2025-06-07T12:29:47","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228615"},"modified":"2025-06-07T12:29:50","modified_gmt":"2025-06-07T12:29:50","slug":"a-bowl-has-a-green-grapes-and-15-red-grapes-henry-randomly-chooses-a-great-eats-it-and-then-choose-another-great-what-is-the-probability-that-the-grapes-or-green","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/a-bowl-has-a-green-grapes-and-15-red-grapes-henry-randomly-chooses-a-great-eats-it-and-then-choose-another-great-what-is-the-probability-that-the-grapes-or-green\/","title":{"rendered":"A bowl has a green grapes and 15 red grapes Henry randomly chooses a great eats it and then choose another great what is the probability that the grapes or green"},"content":{"rendered":"\n
A bowl has a green grapes and 15 red grapes Henry randomly chooses a great eats it and then choose another great what is the probability that the grapes or green<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Problem Recap:<\/strong><\/h3>\n\n\n\n
A bowl contains a green grape<\/strong> (just 1) and 15 red grapes<\/strong>, making a total of 16 grapes<\/strong>.<\/p>\n\n\n\n
Henry:<\/p>\n\n\n\n
\n
Randomly chooses a grape and eats it.<\/li>\n\n\n\n
Then randomly chooses another<\/strong> grape.<\/li>\n<\/ol>\n\n\n\n
We are asked: What is the probability that both grapes are green?<\/strong><\/p>\n\n\n\n\n\n\n\n
Step-by-Step Solution:<\/strong><\/h3>\n\n\n\n
Let\u2019s analyze the situation:<\/p>\n\n\n\n
\n
Initially, there is only 1 green grape<\/strong> in the bowl.<\/li>\n\n\n\n
So, it’s impossible for Henry to pick two green grapes<\/strong>, because only one<\/strong> exists.<\/li>\n<\/ul>\n\n\n\n
Therefore, the probability that both grapes are green<\/strong> is:0\\boxed{0}0\u200b<\/p>\n\n\n\n\n\n\n\n
Explanation<\/strong><\/h3>\n\n\n\n
This is a classic example of probability where it’s important to consider what is possible<\/strong> versus what is not possible<\/strong>. In this problem, the key lies in understanding the composition of the bowl: it contains 1 green grape<\/strong> and 15 red grapes<\/strong>, totaling 16 grapes<\/strong>. Since there is only 1 green grape<\/strong>, Henry cannot pick two green grapes. Once the green grape is eaten (if chosen first), it no longer exists in the bowl. Hence, it is impossible for both grapes to be green.<\/p>\n\n\n\n
Let\u2019s break it down:<\/p>\n\n\n\n
\n
Case 1:<\/strong> If Henry picks the green grape first<\/strong>, he eats it. Then only red grapes remain, so the second grape must<\/strong> be red.<\/li>\n\n\n\n
Case 2:<\/strong> If Henry picks a red grape first<\/strong>, the green grape still remains in the bowl. He could potentially pick the green grape second\u2014but that would result in only one<\/strong> green grape being chosen.<\/li>\n<\/ul>\n\n\n\n
In no case<\/strong> can Henry eat two<\/strong> green grapes. Therefore, the desired outcome\u2014both grapes being green\u2014is impossible<\/strong>.<\/p>\n\n\n\n
In probability, when an event is impossible, its probability is 0. This makes the final answer very straightforward.<\/p>\n\n\n\n
Understanding what is possible in a situation is crucial in probability. Sometimes, people might mistakenly try to calculate probabilities using formulas without realizing that the desired outcome cannot happen. Always start by checking whether the event is even possible<\/strong>. If it’s not, the answer is zero\u2014regardless of how many steps are involved.<\/p>\n\n\n\n\n\n\n\n
A bowl has a green grapes and 15 red grapes Henry randomly chooses a great eats it and then choose another great what is the probability that the grapes or green The Correct Answer and Explanation is: Problem Recap: A bowl contains a green grape (just 1) and 15 red grapes, making a total of […]<\/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-228615","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228615","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=228615"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228615\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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