High School

We appreciate your visit to Jacqueline has a bag containing six black checkers and four red checkers What is the probability of her selecting two black checkers if she replaces. 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!

Jacqueline has a bag containing six black checkers and four red checkers. What is the probability of her selecting two black checkers if she replaces the first checker she pulls out of the bag before selecting the second checker?

Answer :

The final probability is then 9/25.

The question involves calculating the probability of Jacqueline selecting two black checkers from a bag with replacement. To find this probability, we need to consider the event of selecting a black checker twice independently since the first checker is replaced before the second is drawn.

The probability of Jacqueline selecting a black checker on the first draw is 6 out of 10, or 6/10, since there are six black checkers and four red checkers. Since she replaces the checker, the probabilities remain the same for the second draw. Therefore, the probability of selecting a black checker on the second draw is also 6/10

The overall probability of selecting two black checkers is found by multiplying the individual probabilities together:

P(Black first draw) imes P(Black second draw) = 6/10 x 6/10 = 36/100 = [tex]\frac{9}{25}[/tex]

Hence, the probability that Jacqueline selects two black checkers with replacement is 9/25.

Thanks for taking the time to read Jacqueline has a bag containing six black checkers and four red checkers What is the probability of her selecting two black checkers if she replaces. 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!

Rewritten by : Barada