Statistics And Probability Question 423

Question: If the probability of a horse A winning a race is 1/4 and the probability of a horse B winning the same race is 1/5, then the probability that either of them will win the race is

Options:

A) $ \frac{1}{20} $

B) $ \frac{9}{20} $

C) $ \frac{11}{20} $

D) $ \frac{19}{20} $

Show Answer

Answer:

Correct Answer: B

Solution:

  •                  $ P(A\cup B)=P(A)+P(B)=\frac{1}{4}+\frac{1}{5}=\frac{9}{20}. $  {Since events are mutually exclusive, so  $ P(A\cap B)=0\} $