In a simple model of the weather in October, each day is classified as either fine or rainy. The probability that a fine day is followed by a fine day is 0.8. The probability that a rainy day is followed by a fine day is 0.4. The probability that 1 October is fine is 0.75.

(a) Find the probability that 2 October is fine and the probability that 3 October is fine.

(b) Find the conditional probability that 3 October is rainy, given that 1 October is fine.

(c) Find the conditional probability that