SOLUTION: I need to know if my answer is correct on this one. I constructed a diagram and listed the sample space as 8. I found the probability to be 1/4. Thanks. A couple plan to have

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Question 126963: I need to know if my answer is correct on this one. I constructed a diagram and listed the sample space as 8. I found the probability to be 1/4. Thanks.
A couple plan to have exactly three children.
(a) Construct a tree diagram and list the sample space.
(b) Find the probability that the family has at least two girls.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A couple plan to have exactly three children.
(a) Construct a tree diagram and list the sample space.
Yes, there are 8 possible patterns.
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(b) Find the probability that the family has at least two girls.
P(at least two girls) = P(2 girls) + P(3 girls) = (3/8)+(1/8) = 4/8 = 1/2
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Cheers,
Stan H.