Get rich A survey of 4826 randomly selected young adults (aged 19 to 25) asked, “What do you think are the chances you will have much more than a middle-class income at age 30?” The two-way table shows the responses.16 Choose a survey respondent at random.

Gender Opinion Female Male Total Almost no chance 96 98 194 Some chance but probably not 426 286 712 A 50-50 chance 696 720 1416 A good chance 663 758 1421 Almost certain 486 597 1083 Total 2367 2459 4826

(a) Given that the person selected is male, what’s the probability that he answered “almost certain”?

(b) If the person selected said “some chance but probably not,” what’s the probability that the person is female?