SOLUTION: Using a tree diagram, show all possible 'boy-girl' outcomes of a family having 3 children. Identify the probability of the family having (a) exactly 3 boys (b) at least 2 girls

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Question 758653: Using a tree diagram, show all possible 'boy-girl' outcomes of a family having 3 children.
Identify the probability of the family having
(a) exactly 3 boys
(b) at least 2 girls

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Using a tree diagram, show all possible 'boy-girl' outcomes of a family having 3 children.
1st column of the tree: boy::::::girl::: 2 elements in 1st column
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2nd column of the tree: write boy and girl to the right of each element in 1st column::: 4 elements in 2nd column
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3rd column of the tree: write boy and girl to gthe right of each element is 2nd column::::8 elements in 3rd column
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Identify the probability of the family having
(a) exactly 3 boys :::
boy,boy,boy occurs once on the tree ::: P(bbb) = 1/8
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(b) at least 2 girls
patterns: ggg,ggb,gbg,bgg::: P(>= 2 girls) = 4/8
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Cheers,
Stan H.
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