Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:
The probabilities of winning a race by three racers \(P,Q,R\) are \(\frac{1}{3},\frac{1}{4}\) and \(\frac{1}{5}\) respectively. The probability of none of them wins in the race is
Options:
\(\frac{1}{5}\)
\(\frac{13}{60}\)
\(\frac{2}{5}\)
None of the above
Correct Answer:
\(\frac{2}{5}\)
Explanation:
\(P(P^C \cap Q^C \cap R^C)=1-P(P\cup Q\cup R)\)