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

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CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 919 [0], given: 781

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?

Kudos [?]: 919 [0], given: 781

Intern
Joined: 17 Jul 2003
Posts: 33

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

Location: New York

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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!

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

SVP
Joined: 30 Oct 2003
Posts: 1788

Kudos [?]: 112 [0], given: 0

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

Kudos [?]: 112 [0], given: 0

Senior Manager
Joined: 11 Nov 2003
Posts: 356

Kudos [?]: 5 [0], given: 0

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?

Kudos [?]: 5 [0], given: 0

Director
Joined: 28 Oct 2003
Posts: 501

Kudos [?]: 34 [0], given: 0

Location: 55405

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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.

Kudos [?]: 34 [0], given: 0

20 Jan 2004, 12:55
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