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\} $