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(c) What is the probability (as a %) that one finalist is a woman and the other is a man?

(c) What is the probability (as a %) that one finalist is a woman and the other is a man?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A pool of 9 semifinalists for a job consists of 6 men and 3 women. Because all are considered equally qualified, the names of two of the semifinalists are drawn, one after the other, at random, to become finalists for the job. (Round your answers to one decimal place.) (a) What is the probability (as a %) that both finalists are women? Let W, be the event that a woman is chosen on the first draw, W, be the event that a woman is chosen on the second draw, M, be the event that a man is chosen on the first draw, and M, be the event that a man is chosen on the second draw. Then, as percents, P(W,) = 33.3 % and P(W, | w,) = 25.0 %, and thus P(W, n w2) = P(W, | W,) P(W,) = 8.325 %. Hence, the probability that both finalists are women is 8.3 %. (b) What is the probability (as a %) that both finalists are men? 41.7 % (c) What is the probability (as a %) that one finalist is a woman and the other is a man? 45.8 X %
Transcribed Image Text:A pool of 9 semifinalists for a job consists of 6 men and 3 women. Because all are considered equally qualified, the names of two of the semifinalists are drawn, one after the other, at random, to become finalists for the job. (Round your answers to one decimal place.) (a) What is the probability (as a %) that both finalists are women? Let W, be the event that a woman is chosen on the first draw, W, be the event that a woman is chosen on the second draw, M, be the event that a man is chosen on the first draw, and M, be the event that a man is chosen on the second draw. Then, as percents, P(W,) = 33.3 % and P(W, | w,) = 25.0 %, and thus P(W, n w2) = P(W, | W,) P(W,) = 8.325 %. Hence, the probability that both finalists are women is 8.3 %. (b) What is the probability (as a %) that both finalists are men? 41.7 % (c) What is the probability (as a %) that one finalist is a woman and the other is a man? 45.8 X %
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