The probability that it rains on Monday is 3/5. If it rains on Monday, the probability that it rains on Tuesday is 4/7. If it does not rain on Monday, the probability that it rains on Tuesday is 5/7. Find the probability that it rains on both days.
This is just the product of the probabilities that it rains on Monday and that it subsequently rains on Tuesday, namely
(3/5)*(4/7) = 12/35 ≈ 0.343
