In Vancouver, British Columbia, the probability of rain during a winter day is 0.58, for a spring day is 0.38, for a summer day is 0.25, and for a fall day is 0.53. Each of these seasons lasts one quarter of the year.
a. What is the probability of rain on a randomly chosen day in Vancouver?
b. If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?