Question 631485: Construct a sample space of a couple who wants to have five children(excluding multiples)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 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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