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A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders

A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of ead a. Write out all outcomes in the sample space for the genders of the three children. b. What should be the probability associated with each outcome? c. Using the sample space constructed in part a, find the probability that the couple will have two boys and one girl. d. Using the sample space constructed in part a, find the probability that the couple will have at least two boys. a. Choose the correct answer below. O A. {BB, BG, GB, GG} O B. {B, G} C. {BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG} O D. {BBB, BBG, BGG, GGG} b. The probability associated with each outcome should be 0.125 . (Type an integer or a decimal. Do not round.) c. The probability that the couple will have two boys and one girl is 0.375 (Type an integer or a decimal. Do not round.) d. The probability that the couple will have at least two boys is 0.375 (Type an integer or a decimal. Do not round.)

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