Abox contains 6 red marbles and 5 blue marbles. another box has 5 red and 8 blue marbles. one box is selected at random and from that box one marble is drawn. what is the probability that the marble drawn is blue

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297