SOLUTION: A couple plan to have exactly four children. a) construct a tree diagram and list the sample space. b) Find the probability that the family has at least three boys.

Question 194910: A couple plan to have exactly four children.
a) construct a tree diagram and list the sample space.
b) Find the probability that the family has at least three boys.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
this says at least 3 boys so we would follow all branches that have 3 or 4 boys and add the probabilities together: out of the Boys portion , we have 3 branches that lead to 3 or more boys
:
in the girls part of the tree only one branch leads to 3 or more boys
:
.5*.5*.5*.5+.5*.5*.5*.5+.5*.5*.5*.5+.5*.5*.5*.5=.0625+.0625+.0625+.0625=.25
:
so a 1 in 4 chance of 3 or more boys
:

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