In a horse race odds in favour of three horses are 1:2 , 1:3 and 1:4 . probability that one of

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Gujarati

Hindi

14.Probability

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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

$\frac{3}{4}$

Solution

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

Hence required probability $ = \frac{1}{3} + \frac{1}{4} + \frac{1}{5} = \frac{{47}}{{60}}.$

Standard 11

Mathematics

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