Posted by Angela on Friday, April 26, 2013 at 10:28pm.
Assume a family is planning to have three children.
1. Why do probabilities centered around this scenario represent the same probabilities as those for flipping three coins

math probablity Respond as soon as possible  Reiny, Friday, April 26, 2013 at 10:42pm
mmmh,
in flipping one coin, and having one child:
prob(heads) = 1/2, prob(tails) = 1/2
prob(boy) = 1/2 , prob (girl) = 1/2
for flipping 3 coins, or considering 3 kids:
prob(1 head, 2 tails) = 3(1/2)^3 = 3/8
prob(1 boy, 2 girls) = 3(1/2)^3 = 3/8
etc.

math probablity Respond as soon as possible  jimbo, Saturday, April 27, 2013 at 7:42pm
This is because each pregnancy is independent of the others so the chances of receiving either a boy or girl is 50% for each separate pregnancy. the same as flipping three coins, the chances of having either heads or tails is 50% and each flip is independent of the others.
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