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Question: Answered & Verified by Expert
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
MathematicsProbabilityJEE Main
Options:
  • A $\frac{1}{20}$
  • B $\frac{9}{20}$
  • C $\frac{11}{20}$
  • D $\frac{19}{20}$
Solution:
1645 Upvotes Verified Answer
The correct answer is: $\frac{9}{20}$
$P(A \cup B)=P(A)+P(B)=\frac{1}{4}+\frac{1}{5}=\frac{9}{20}$
$\{$ Since events are mutually exclusive, so $P(A \cap B)=0\}$

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