Lindsay is going to the gym to use either a Stairmaster or a stationary bike. She would prefer the Stairmaster, but using a bike is acceptable as well. The probability of getting a Stairmaster is .20. Given that she gets the Stairmaster, the probability that she will have it for forty minutes straight is .10. Given that she gets a bike, the probability is 0.50 that she will be able to use it for forty minutes straight. What is the probability that Lindsay worked out for forty minutes straight today?