Math 30-2

5. On any given Saturday Ron may go for a bike ride along the beach. If it is sunny outside, there is a 0.82 probability that he will go for a bike. If it is not sunny, the probability that Ron goes for a bike is 0.41. Next Saturday, the weather channel predicts a probability of 0.74 that it will be sunny. Given that Ron goes for a bike next Saturday, what is the probability that /3 it was sunny outside? Illustrate this problem with a diagram and evaluate Your answer to the nearest hundredth