In the following exercise, we are interested in the weather of 3 consecutive days: Day 1, Day 2 and Day 3. Suppose the probability of raining on Day 1 is 0.32. If it has rained on a particular day, the probability of it raining again the next day is given as 0.82. Furthermore, if it has not rained on a particular day, the probability of it raining the next day is given as 0.25.

You may assume that the weather for any particular day only depends on the weather the day before and nothing else.

What is the probability that it rains on all 3 days?

Can you please provide the correct answer.