t. c. has scheduled two test screenings. after each screening, the audience rates the fi lm on a scale of 1 to 10, 10 being best. from his long experience in the industry, t. c. knows that 60 percent of the time, a hit picture will receive a rating of 7 or higher; 30 percent of the time, it will receive a rating of 4, 5, or 6; and 10 percent of the time, it will receive a rating of 3 or lower. for a moderately successful picture, the respective probabilities are 0.30, 0.45, and 0.25; for a fl op, the respective probabilities are 0.15, 0.35, and 0.50. (a) if the fi rst test screening produces a score of 6, what is the probability that the fi lm will be a hit? (b) if the fi rst test screening produces a score of 6 and the second screening yields a score of 2, what is the probability that the fi lm will be a fl op (assuming that the screening results are independent of each other)?