According to a survey, 49% of U.S. adults have purchased a state lottery ticket in the past 12 months. Of these 49%, about 27.5% have annual incomes less than $36,000.

(a) Find the probability that a randomly selected U.S. adult purchased a state lottery ticket in the past 12 months and has an annual income less than $36,000.

(b) Find the probability that a randomly selected U.S. adult who purchased a state lottery ticket in the past 12 months has an annual income greater than or equal to $36,000.

(c) Would it be unusual for a randomly selected U.S. adult to have purchased a state lottery ticket in the past 12 months and to have an annual income less than $36,000? Explain.

Use the Multiplication Rule.