Question

The arrival time of an elevator in a 12-story dormitory is equally likely at any time during the next 3 minutes. What is the probability that the elevator arrives within the first 2 minutes?

1) 1/3
2) 1/2
3) 2/3
4) 3/4

Answer 1

The probability that the elevator arrives within the first 2 minutes in a 12-story dormitory with equally likely arrival times is 2/3.

Step-by-step explanation:

To find the probability that the elevator arrives within the first 2 minutes, we need to determine the favorable outcome (elevator arriving within the first 2 minutes) and the total possible outcomes (any time during the next 3 minutes).

The favorable outcome is the time range from 0 to 2 minutes. The total possible outcomes is the entire time range from 0 to 3 minutes.

Therefore, the probability that the elevator arrives within the first 2 minutes is 2/3.