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of the same gender?

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by sanju09 » Tue May 24, 2011 1:21 am
The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?
(A) 1/8
(B) 1/6
(C) 1/5
(D) ¼
(E) 1/3


[spoiler]Source: Eric's collection on BTG


OA D[/spoiler]
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Source: — Problem Solving |

by manpsingh87 » Tue May 24, 2011 1:28 am
sanju09 wrote:The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?
(A) 1/8
(B) 1/6
(C) 1/5
(D) ¼
(E) 1/3


[spoiler]Source: Eric's collection on BTG


OA D[/spoiler]
Required probability = all male+ all female;

1/2*1/2*1/2+1/2*1/2*1/2= 2/8; 1/4 hence D
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