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Of all college degrees awarded in the United States, 50 % 50% are bachelor's degrees, 59 % 59% are earned by women, and 29 % 29% are bachelor's degrees earned by women. Let P ( B ) P(B) represent the probability that a randomly selected college degree is a bachelor's degree, and let P ( W ) P(W) represent the probability that a randomly selected college degree was earned by a woman. What is the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree? Please round your answer to the two decimal places.

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Answer:

P(B|W)=0.5

Step-by-step explanation:

-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

[tex]P(B|W)=\frac{P(W)\times P(B)}{P(W)}\\\\=\frac{0.50\times0.29}{0.29}\\\\=0.5[/tex]

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5

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