What is the expecter number of girls and boys they have?
Thursday, April 9th, 2009Alfanumerica asked:
(a) Alice and Bob decide to have children until either they have their first girl or they have k > 1 children. Assume that each child is a boy or girl independently with probability 1/2 and that there are no multiple births. What is the expected number of girls they have? What is the expected number of boys they have?
(a) Alice and Bob decide to have children until either they have their first girl or they have k > 1 children. Assume that each child is a boy or girl independently with probability 1/2 and that there are no multiple births. What is the expected number of girls they have? What is the expected number of boys they have?
(b) Suppose Alice and Bob simply decide to keep having children until they have their first girl. Assume that this is possible, what is the expected number of boys they have?
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Tags: Alice, Girls And Boys, Girls Boys