SOLUTION: a family has 3 children. if each of the outcomes in the sample space is equally likely, find the probability that the family has 3 girls given that: A) the first child is a girl

Question 1102251: a family has 3 children. if each of the outcomes in the sample space is equally likely, find the probability that the family has 3 girls given that:
A) the first child is a girl
B) the first child is a boy
Answer by Lightning_Fast(78) (Show Source): You can put this solution on YOUR website!
A.) If the first child is a girl, then the family will need to have two more girls to get 3 girls. Getting on girl is 1/2 probability. Getting to girls is a 1/2 * 1/2 probability, which is 1/4. So there is a 1/4 chance of getting three girls given that the first child is a girl.

B.) If the first child is a boy, the probability of getting 3 girls is 0. This is because the family only has three children. If one boy is already born, there are only two children left. It is impossible to give birth to three girls and have two children at the same time, because giving birth to three children will result in having three more children, not to more children.
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