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5. Consider this situation. You just began a new job doing genetic counseling fo

ID: 3240737 • Letter: 5

Question

5. Consider this situation. You just began a new job doing genetic counseling for married couples. Your first clients came in for their appointment. They want to know what the chances are that they will have one son and one daughter. What do you tell them, and explain why?

B). What is the probability that their first child will be a son and the second a daughter? Is this the same as the answer to the question above? If not, explain why.

C). After having two children, the couple decides to have a third child. What is the probability that it will be a girl? Explain your reasoning.

Explanation / Answer

Son and daughter are equally likely. So, probability of each is 1/2.

(A) Probability of one son and one daughter = (1/2)(1/2) = 1/4

(B) Probability = (1/2)(1/2) = 1/4

(C) Probability = 1/2.

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