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# From a group of 3 boys and 3 girls, 4 children are to be

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Senior Manager
Joined: 02 Dec 2007
Posts: 463
Followers: 2

Kudos [?]: 57 [0], given: 6

From a group of 3 boys and 3 girls, 4 children are to be [#permalink]  20 Sep 2008, 06:02
From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

A.1/10
B.4/9
C.1/3
D.3/5
E.2/3
VP
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 348 [0], given: 1

Re: Probability [#permalink]  20 Sep 2008, 06:16
Nihit wrote:
From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?

A.1/10
B.4/9
C.1/3
D.3/5
E.2/3

Total no of outcomes = 6C4 = 6!/(4!*2!) = 15

Total no of favorable outcomes = 3C2 * 3C2 = 9

P(E) = 9/15 = 3/5
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Re: Probability   [#permalink] 20 Sep 2008, 06:16
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