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Suppose that 20 women and 20 men have been successfully screened for 5 positions at the...

Suppose that 20 women and 20 men have been successfully screened for 5 positions at the IRS. If the 5 positions are filled at random from the 40 finalists, what is the probability that they are all filled with women?

Write your answer as a decimal rounded to 4 places.

(Hint: There are exactly two primes in this 4-digit rounded number.)

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Answer #1

Total ways = C(40, 5)

Only women then total way = C(20, 5)

Hence, 0.0236 is the answer (rounded to 4 decimals)

Please comment if any doubt. Thank you.

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