Statistics And Probability Question 101

Question: In a horse race the odds in favour of three horses are $ 1:2 $ , $ 1:3 $ and $ 1:4 $ . The probability that one of the horse will win the race is

Options:

A) $ \frac{37}{60} $

B) $ \frac{47}{60} $

C) $ \frac{1}{4} $

D) $ \frac{3}{4} $

Show Answer

Answer:

Correct Answer: B

Solution:

  •                 Probabilities of winning the race by three horses are                                                                                  $ \frac{1}{3},\frac{1}{4} $   and                                                                                             $ \frac{1}{5}. $                                                     Hence required probability                                                       $ =\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{47}{60}. $