SOLUTION: If there are 20 males and 30 females in a business statistics class and the professor calls 5 students at random from a well-shuffled pack of 50 class cards, the probability that t

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Question 710604: If there are 20 males and 30 females in a business statistics class and the professor calls 5 students at random from a well-shuffled pack of 50 class cards, the probability that the students called are:
a) all male is (answer in percentage, up to two decimal places)
b) all female is (answer in percentage, up to two decimal places)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If there are 20 males and 30 females in a business statistics class and the professor calls 5 students at random from a well-shuffled pack of 50 class cards, the probability that the students called are:
a) all male is (answer in percentage, up to two decimal places)
# of ways to succeed: 20C5
# of possible outcomes: 50C5
P(all male) = 20C5/50C5 = 0.0073 = 0.73%
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b) all female is (answer in percentage, up to two decimal places)
P(all female) = 30C5/50C5 = 6.73%
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Cheers,
Stan H.