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If 3 men and 4 women are being considered for election to the executiv
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14 Jul 2022, 13:23
14 Jul 2022, 13:23
1
Expert Reply
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Question Stats:
77% (01:57) correct
22% (01:34) wrong based on 9 sessions
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If 3 men and 4 women are being considered for election to the executive board of a co-op, which has 3 positions, which of the following is the approximate probability that the executive board will not be all men?
A. 0.00
B. 0.03
C. 0.10
D. 0.42
E. 0.97
A. 0.00
B. 0.03
C. 0.10
D. 0.42
E. 0.97
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If 3 men and 4 women are being considered for election to the executiv
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14 Jul 2022, 15:27
14 Jul 2022, 15:27
1
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Carcass wrote:
If 3 men and 4 women are being considered for election to the executive board of a co-op, which has 3 positions, which of the following is the approximate probability that the executive board will not be all men?
A. 0.00
B. 0.03
C. 0.10
D. 0.42
E. 0.97
A. 0.00
B. 0.03
C. 0.10
D. 0.42
E. 0.97
P(the 3 selections are not ALL male) = 1 - P(all 3 selections ARE male)
P(all 3 selections ARE male) = P(1st person selected is male AND 2nd person selected is male AND 3rd person selected is male)
= P(1st person selected is male) x P(2nd person selected is male) AND P(3rd person selected is male)
= 3/7 x 2/6 x 1/5
= 1/35
≈ 0.029
≈ 0.03
So, P(the 3 selections are not ALL male) = 1 - 0.03
= 0.97
Answer: E
Re: If 3 men and 4 women are being considered for election to the executiv
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15 Jul 2022, 02:31
15 Jul 2022, 02:31
1
1-P(all men)
1-(3C3/7C3)
34/35
1-(3C3/7C3)
34/35
