Question

In a horse race the odds in favour of three horses are $1 : 2$, $1 : 3$ and $1 : 4$ . The probability that one of the horse will win the race is

• A. $\frac { 37 } { 60 }$
• B. $\frac { 47 } { 60 }$
• C. $\frac { 1 } { 4 }$
• D. $\frac { 3 } { 4 }$

Answer 1

Answer: (B)

$\frac { 47 } { 60 }$

Answer 2

Probabilities of winning the race by three horses are $\frac { 1 } { 3 } , \frac { 1 } { 4 }$ and $\frac { 1 } { 5 }$

Hence required probability