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If a couple were planning to have three children, the sample space summarizing t

ID: 3290772 • Letter: I

Question

If a couple were planning to have three children, the sample space summarizing the gender outcomes would be bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. a. Construct a similar sample space for the possible weight outcomes (using o for overweight and u for underweight) of two children. b. Assuming that the outcomes listed in part (a) were equally likely find the probability of getting two underweight children. c. Find the probability of getting exactly one overweight child and one underweight child. a. What is the sample space? (Use a comma to separate answers as needed.)

Explanation / Answer

a) oo, ou, uo, uu

b) two underweight childrens are: uu

Therefore, probability of getting two overweight children: 1/4 = 0.25

c) exactly one overweight and one underweight children: ou, uo

Therefore, probability of getting one overweight and one underweight children = 2/4 = 1/2 = 0.50  

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