Paolo has plans to meet his friend for lunch at noon. the trip will take him 12 minutes by bus, and buses run every 5 minutes. if he gets to the bus stop at 11: 45, what is the probability that he will arrive on time to meet his friend?

It is given that Paolo reaches the bus stand at 11: 45.

Now, Paolo has to get a bus by 11: 48 because it take takes 12 minutes to reach his friend which he has to reach by noon to be on time

We know that a bus comes every 5 minutes. So the probability of Paolo getting onto a bus in 5 minutes is 1.

Therefore, the probability of Paolo getting a bus from 11: 45 to 11: 48 is 60%.

This is because if probability of getting a bus in 5 minutes is 1 then, by using the unitary method, the probability of getting a bus in 3 minutes can be calculated as:

or equivalently, 60%.

Thus, 60% is the correct answer.