Suppose a weather forecaster reports that the probability of
rain tomorrow is 0.4. The forecast states that if it rains
tomorrow, the probability that it rains the day after tomorrow is
0.70. If it doesn't rain tomorrow, the probability that it rains
the day after tomorrow is 0.2.
a. Fill the probabilities in the the tree
diagram.
b. Find the probability that it will rain the day after
tomorrow