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# A couple has 4 children, what is the probability that they

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CEO
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A couple has 4 children, what is the probability that they [#permalink]

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13 Sep 2003, 20:00
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A couple has 4 children, what is the probability that they are 2 boys and 2 girls?

Intern
Joined: 17 Jul 2003
Posts: 33
Location: New York
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Kudos [?]: 0 [0], given: 0

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13 Sep 2003, 20:42

The number of ways to arrange the children if there are two girls and 2 boys (GGBB) is 4!/(2!2!)= 6

Total number of possibilities = 2x2x2x2 = 16

so 6/16 or 3/8

not sure if that's right. I'm sure someone can confirm or set me right!
SVP
Joined: 30 Oct 2003
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Location: NewJersey USA
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18 Jan 2004, 23:34
Got the same
Desired combinations = 4!/(2!*2!) = 6
Total combinations = 2^4 = 16
P = 6/16 = 3/8
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
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20 Jan 2004, 12:45
If I do this problem as follows, what would it indicate?

Total possible outcomes: 4B, 0G
3B, 1G
2B, 2G
1B, 3G
0B, 4G

Probability = 1/5

I know this is not the answer to the question. But I need to know what would this indicate?
Director
Joined: 28 Oct 2003
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20 Jan 2004, 12:55
It would indicate that you know nothing about probability, first of all.

Second, it would indicate that one is just as likely to have four girls as s/he is to have two boys and two girls.
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