Suppose the probability that it rains in the next two days 1/3 for tomorrow and 1/6"for the day after tomorrow. What is P (rain tomorrow, then rain the day after tomorrow) ?

A. 1/2

B. 1/18

C. 2/9

D. 1/9

This events are separate, so the probability of both of which combined is the product of them.

Let P (A) rain tomorrow event

P (B) rain after tomorrow event

P (A) = 1/3

P (B) = 1/6

P (A in B) = P (A) * P (B) = 1/3 * 1/6 = 1/18

Choice: (B)