If a number is chosen at random from the set {1, 2, 3, 100}, then the probability that the chosen number is a perfect cube is
Options:
(A) 1/25
(B) 1/2
(C) 4/13
(D) 1/10
(E) 3/10 Let's think first. Stream of consciousness:
We have 1, 8, 27 and 64 as perfect cubes from 1 to 100. Thus, the probability of picking a perfect cube is 4/100 = 1/25
So, the answer is (A).