Question

Each time a class meets, the professor selects one student at random to explain the solution to a homework problem. There are 60 students in the class, and no one ever misses class. Luke is one of these students. What is the probability that Luke is selected both of the next two times that the class meets?

Answer 1

The probability that Luke is selected both of the next two times that the class meets is 1/3600, or approximately 0.0003.

Step-by-step explanation:

The probability that Luke is selected both of the next two times that the class meets can be found by multiplying the probability of Luke being selected on the first meeting with the probability of Luke being selected on the second meeting.

There are a total of 60 students in the class, so the probability of Luke being selected on the first meeting is 1/60. Assuming no one is removed or added to the class before the second meeting, the probability of Luke being selected again on the second meeting is also 1/60.

Therefore, the probability that Luke is selected both times is (1/60) * (1/60), which simplifies to 1/3600, or approximately 0.0003.