Statistics And Probability Question 108

Question: In a relay race, there are six teams A, B, C, D, E and F. what is the probability that A, B, C finish first, second, third respectively?

Options:

A) $ \frac{1}{2} $

B) $ \frac{1}{12} $

C) $ \frac{1}{60} $

D) $ \frac{1}{120} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] Probability of $ A=\frac{1}{6} $ Probability of $ B=\frac{1}{5} $ Probability of $ C=\frac{1}{4} $ Hence, required probability $ =\frac{1}{6}\times \frac{1}{5}\times \frac{1}{4} $ $ =\frac{1}{120} $