anonymous
  • anonymous
MEDAL! ~PROBABLITY~ Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) What is the probability that all three will be the same gender?
Mathematics
katieb
  • katieb
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Toasty_the_Robot
  • Toasty_the_Robot
1/3
anonymous
  • anonymous
1/3
Toasty_the_Robot
  • Toasty_the_Robot
well technically 1.5/3

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anonymous
  • anonymous
can someone explain to me why it would not be 1/8?
mathmate
  • mathmate
For one child, probability is 1/2 for a boy. For two boys, probability is (1/2)^2=1/4. For three boys, probability is (1/2)^3=1/8 = P(BBB) Assuming equality of probability between boys and girls, probability of three girls is also = 1/8 = P(GGG) So probability of having 3 children of same gender = P(BBB)+P(GGG)
anonymous
  • anonymous
so was i correct at 1/8? or no? hahaha
mathmate
  • mathmate
Calculate P(BBB)+P(GGG) and you will find out.

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