There is a 75% chance mom will order chinese takeout for dinner, a 50% chance she will take you to a movie, and a 60% chance she will order both chinese take out and take you to the movies. what is the chance she will order chinese take out or take you to the movies (probabilities of unions)

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