Question

$A,B$ & $C$ are participating in a race. Probability of $A^{\prime }s$ & $B^{\prime }s$ winning race is $\frac{1}{3}$ and $\frac{1}{5}$ respectively. What is the probability of $C^{\prime }s$ winning race ?

• A. $\frac{1}{8}$
• B. $\frac{7}{15}$
• C. $\frac{8}{15}$
• D. None of these

Answer 1

Answer: (B)

$\frac{7}{15}$

$A^{\prime }s$ Probability of winning race: $\frac{1}{3}$

$B^{\prime }s$ Probability of winning race: $\frac{1}{5}$

$C^{\prime }s$ Probability of winning race: $1-P\left(A\right)-P\left(B\right)$

$P\left(C\right)=1-\frac{1}{3}-\frac{1}{5}=\frac{7}{15}$