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?
A)0.00028
B)0.03333
C)0.5
D)0.01724
E)0.00015

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? ​
A)0.00028
B)0.03333
C)0.5
D)0.01724
E)0.00015

Quizplus · Accepted Answer

The probability of Luke being selected in one class is 1/60. Since the selections are independent, the probability of him being selected in both classes is (1/60) * (1/60) = 1/3600 = 0.00028.

Each Time a Class Meets, the Professor Selects One Student