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The membership of a committee consists of 3 English teachers, 4 Mathem
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24 Jan 2023, 01:44
24 Jan 2023, 01:44
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Expert Reply
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Question Stats:
77% (00:57) correct
22% (02:08) wrong based on 27 sessions
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The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
A. 2/3
B. 1/3
C. 2/9
D. 1/12
E. 1/24
A. 2/3
B. 1/3
C. 2/9
D. 1/12
E. 1/24
Re: The membership of a committee consists of 3 English teachers, 4 Mathem
[#permalink]
25 Jan 2023, 09:53
25 Jan 2023, 09:53
Expert Reply
There are total 3+4+2=9 teachers out of which 3 teach English.
\(P=\frac{C^2_3}{C^2_9}=\frac{1}{12}\)
Or: \(P=\frac{3}{9}*\frac{2}{8}=\frac{1}{12}\).
Answer: D.
\(P=\frac{C^2_3}{C^2_9}=\frac{1}{12}\)
Or: \(P=\frac{3}{9}*\frac{2}{8}=\frac{1}{12}\).
Answer: D.
gmatclubot
Re: The membership of a committee consists of 3 English teachers, 4 Mathem [#permalink]
25 Jan 2023, 09:53
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