Question

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?

Answer 1

3/5 or a 0.6 chance or a 60% chance

Answer 2

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:

$\frac{1}{5}\times 3 =0.6$ or equivalently, 60%.

Thus, 60% is the correct answer.