COLLEGE level Statistics - Probability If a couple were planning to have three c

Question

COLLEGE level Statistics - Probability

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. Construct a similar sample space for the possible hair color outcomes (using b for brown-haired and r for red-headed) of two children. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two brown-haired children. Find the probability of getting exactly one brown-haired child and one red-headed child. What is the sample space? (Use a comma to separate answers as needed.) Find the probability of getting two brown-haired children (Type an exact answer.) Find the probability of getting one brown-haired child and one red-headed child. (Type an exact answer.)

Explanation / Answer

Solution:-  a. bb, br, rb, rr
b. 1/4
c. 1/2

For b and c, all you have to do is count the number of outcomes that match the criterion and divide by the total number of outcomes.

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