Suppose a weather forecast reports that the probability of snow this week is 0.18. The forecast states that if it snows this week, the probability that it snows next week is 0.29. If it does not snow this week, the probability that it snows next week is 0.12. The tree diagram depicts the possible weather event outcomes with the associated probabilities.

21. Suppose that the two weather conditions, W - for windy, and R - for rainy, are independent events for tomorrow's weather. Suppose that the probability of W is 0.4 and the probability of R is 0.3. What is the probability of a windy but dry day tomorrow? (A) 0.0 (B) 0.1 (C) 0.28 (D) 0.12 (E) 0.18

PROBLEM 11: On a particular day, the probability that it rains in Bloomington is 1/3. In addition, if it rains, the probability is 3/4 that 87-year-old Velma Watson will be involved in a car accident, whereas if it does not rain, the probability is only 1/4 that Velma will be involved in a car accident. If it is known that Velma was involved in a car accident on that day, what is the probability that it was raining in Bloomington? A) 1/3 B) 3/5 C) 3/4 D) 1/4 E) none of the above