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

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 a for overweight and u for underweight) of the children. b. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two overweight children. c. Find the probability of getting exactly one overweight child and one underweight child. What is the sample space? (Use a comma to separate answer as needed.) b. Find the probability of getting two overweight children (Type an exact answer.) c. Find the probability of getting one overweight child and one underweight child. (Type an exact answer.)

Explanation / Answer

a) a child can be overweight (o) or underweight (u)

hence

sample space for 3 children =

{(o,o,o),(o,o,u),(o,u,u),(o,u,o),(u ,o,o ),(u ,o,u ),(u ,u,o ),(u u,u )}

b) probability of getting 2 overweight children   ,{(o,o,u),(o,u,o),(u ,o,o )}

= 3/8

c)probability of getting exactly 1 overweight and 1 underweight = 0

but probability of getting at lease 1 overweight and 1 underweight = 1 - 2/8 = 3/4

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