Possible arrangements of girls and boys

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Reference no: EM131032570

Problem:

Birth order. A couple plans to have three children. There are 8 possible arrangements of girls and boys. For example, GGB means the first two children are girls and the third child is a boy. All 8 arrangements are (approximately) equally likely.

Required:

(i) Write down all 8 arrangements of the sexes of three children. What is the probability of any one of these arrangements?

(ii) Let X be the number of girls the couple has. What is the probability that X = 2?

(iii) Starting from your work in (a), find the distribution of X. That is, what values can X take, and what are the probabilities for each value?

Reference no: EM131032570

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