Persons are classified as work disabled if they have a health problem that prevents them from working in the type of work they can do. Table 12 on the next page contains the proportion, by age, of Americans who are 16 years of age or older who are work disabled.

If we let M represent the event that a randomly selected American who is 16 years of age or older is male, the Census Bureau also gives us the following probabilities:

(a) If a work-disabled American aged 16 years of age or older is randomly selected, what is the probability that the American is male?

(b) If a work-disabled American randomly selected is male, what is the probability that he is 25–34 years of age?

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Table 12 Age Event Proportion Work Disabled 16-24 A1 0.064 25-34 A2 0.097 35-44 A3 0.151 45-54 A4 0.229 55 and older As 0.459