2026 CCHMS P1 Q13

A weather forecast gives the probabilities of rain on three consecutive days. The probabilities that it will rain on the first, second or third day are 0.2, 0.2 and 0.3 respectively.

The occurrence of rain on each day is independent of the day before.

1. Find the probability that it rains on all 3 days.[1]
2. Given that it rains on the third day, find the probability it will rain on exactly one of the first two days.[2]