9. Salary Raise: Women Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one (USA Today). According to the survey, of the women interviewed, 24% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities:

P(woman asked for a raise); P(woman received raise, given she asked for one); P(woman asked for raise and received raise).