We appreciate your visit to Portia has a bag of 9 black checkers and 6 red checkers Find the probability of Portia grabbing a black checker and then instantly grabbing. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let B1 be the event of grabbing a black checker at the first draw and let R2 be the event of grabbing a red checker at the second draw.
We are asked for the following probability
[tex]P(B_1\text{ \backslash{}cap B\_2)=}[/tex]Thanks for taking the time to read Portia has a bag of 9 black checkers and 6 red checkers Find the probability of Portia grabbing a black checker and then instantly grabbing. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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Final answer:
The probability of Portia grabbing a black checker and then a red checker depends on whether the events are dependent or independent. In this case, the events are dependent.
Explanation:
To find the probability of Portia grabbing a black checker and instantly grabbing a red checker, we need to consider whether the events are dependent or independent. In this case, the events are dependent because the first checker is not replaced before the second grab.
The probability of grabbing a black checker on the first grab is 9/15, as there are 9 black checkers out of 15 total checkers. After removing the black checker, there are now 14 checkers remaining, with 6 of them being red checkers. Therefore, the probability of grabbing a red checker on the second grab, given that a black checker was grabbed on the first grab, is 6/14.
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