Suppose the probabilities of having a boy or a girl child arethe same—both are 50%....

Suppose the probabilities of having a boy or a girl child are the same—both are 50%. Answer the following questions about a couple that has two children, showing any calculations.

a. What is the probability that the couple has two girls?

b. The eldest of the two children is a girl. Given this, what is the probability that the couple has two girls?

c. At least one of the children is a girl. What is the probability that the couple has two girls?

Your answers to a, b, and c should all be different numbers. Explain why each is different from the others. (Hint: (b) specifies that the older child is a girl, while (c) simply states that one of the two children is a girl without indicating whether it’s the older or younger child.)

Expert Solution

a)

Probability of two girls = 0.5 * 0.5 = 0.25

b)

Probability of girl = 0.5

c)

Combination we got (G,B) ,(G,G) ,(B,G)

Since all will have equal probability , so to get (G,G) PROBABILITY = 1/3 = 0.3333

Each is different from the others as condtions are different.

orchestra answered 2 years ago

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