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# 2 different representatives are to be selected at random

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Senior Manager
Joined: 30 May 2005
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2 different representatives are to be selected at random [#permalink]  02 Jul 2005, 19:47
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2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 0.5?

S1. More than half of the 10 employees are women.

S2. The probability that both representatives selected will be men is less than 1/10 .
SVP
Joined: 05 Apr 2005
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Re: DS - Probability [#permalink]  02 Jul 2005, 22:38
go with E for this one.... will explain later.......
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Joined: 18 Apr 2005
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Re: DS - Probability [#permalink]  02 Jul 2005, 23:44
AJB77 wrote:
2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > 0.5?

S1. More than half of the 10 employees are women.

S2. The probability that both representatives selected will be men is less than 1/10 .

1)insuff
6 women, p = 6/10 * 5/9 = 1/3, 10 women p=1

2) means number of men is between 0 and 3 so number of women is greater than 6
7 women p = 7/10 *6/9 = 7/15 < 0.5, 10 women => p=1

1)+2) insuff

E.
Re: DS - Probability   [#permalink] 02 Jul 2005, 23:44
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