Question 631485
The sample space is


{ B, B, B, B, B }
{ B, B, B, B, G }
{ B, B, B, G, B }
{ B, B, B, G, G }
{ B, B, G, B, B }
{ B, B, G, B, G }
{ B, B, G, G, B }
{ B, B, G, G, G }
{ B, G, B, B, B }
{ B, G, B, B, G }
{ B, G, B, G, B }
{ B, G, B, G, G }
{ B, G, G, B, B }
{ B, G, G, B, G }
{ B, G, G, G, B }
{ B, G, G, G, G }
{ G, B, B, B, B }
{ G, B, B, B, G }
{ G, B, B, G, B }
{ G, B, B, G, G }
{ G, B, G, B, B }
{ G, B, G, B, G }
{ G, B, G, G, B }
{ G, B, G, G, G }
{ G, G, B, B, B }
{ G, G, B, B, G }
{ G, G, B, G, B }
{ G, G, B, G, G }
{ G, G, G, B, B }
{ G, G, G, B, G }
{ G, G, G, G, B }
{ G, G, G, G, G }


Notice there are 2^5 = 32 ways to have 5 children.



Note: an element like "{ G, B, G, B, B }" tells us that the first child is a girl, the second is a boy, the third is a girl, and the last two kids are boys.



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