Question 1062655
3 baby possibility:
Look at outcomes
MMM
MMF*
MFM*
MFF
FMM*
FFM
FMF
FFF
The first three, the fifth, and the last are not allowed, probability is 3/8.  That is joint probability.
P(first, where children of both sexes) is 3/4. The probability of the second, at most one boy, is 1/2.
Their products is 3/8.  That is consistent with independence.
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MM
MF
FM
FF
Probability of both is 1/2.
P(children of both sexes) is 1/2.  Probability of at most one boy is 3/4
Their product is 3/8.  Since the joint probability is not equal to the product of each of the probabilities, they are not independent.