A small city has two taxi companies (A and B). Each taxi company has 5 taxis. A motel has told these companies that they will randomly select a taxi company when one of its customers needs a cab. This morning 3 cabs were needed. Assuming that no one individual taxi can be used more than once, what is the probability that 2 of the cabs selected will be from Company A and the other will be from B?
A) 0.417
B) 0.25
C) 0.583
D) 0.5

Question

Quizplus · Accepted Answer

The probability can be calculated using combinations. The total number of ways to choose 3 cabs out of 10 (5 from A and 5 from B) is 10C3 = 120. The number of ways to choose 2 cabs from A and 1 from B is 5C2 * 5C1 = 10 * 5 = 50. Therefore, the probability is 50/120 = 0.417.

A Small City Has Two Taxi Companies (A and B)