Question

In a swimming race $3$ swimmers compete . The probability of $A$ and $B$ winning is same and twice that of $C$.What is the probability that $B$ or $C$ wins. Assuming no two finish the race at the same time.

• A. 2/10
• B. 1/5
• C. 3/5
• D. 8/10

Answer 1

The correct option is C

3/5

$P\left(C\right)=p$

$P\left(A\right)=2p$

$P\left(B\right)=2p$

$P\left(A\right)+P\left(B\right)+P\left(C\right)=1$

$p=\frac{1}{5}$

$P(B\cup C)=P\left(B\right)+P\left(C\right)=\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$