From now on, Finn decides to take the shortcut route to work everyday. On any given day, the time it takes Finn to get to work is uniformly distributed between 20 and 45 minutes.

Find the probability that Finn took more than 31 minutes to get to work today, given that he took less than 43 minutes to get to work today.

Recall from Question 4 that on any given day, the time it takes Finn to get to work is uniformly distributed between 20 and 45 minutes. Assume the time it takes him to get to work is independent from day to day.

Over the next 5 days, find the probability that Finn took more than 31 minutes to get to work on less than 3 days.