Probability: A Family of Five Children

Problem 1
A family with 5 children is selected at random, what is the probability that all are girls or all are boys?
 

Solution 1

 
 

Problem 2
A family with 5 children is selected at random, what is the probability that there are 3 boys and 2 girls?
 

Solution 2

 
 

Problem 3
A family with 5 children is selected at random, what is the probability that at least one child is a boy?
 

Solution 3

 
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