Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year of 365 days. Unfortunately, the weatherman has predicted rain for tomorrow.
When it actually rains, the weatherman correctly forecasts rain 90% of the time. When it doesn't rain, he incorrectly forecasts rain 10% of the time. Using Bayes Rule, what is the probability that it will rain on the day of Marie's wedding?