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

English

Gujarati

Hindi

14.Probability

medium

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

Share

Similar Questions

A card is drawn from a pack of cards. Find the probability that the card will be a queen or a heart

easy

If $A$ and $B$ are any two events, then $P(\bar A \cap B) = $

normal

Let $\mathrm{E}$ and $\mathrm{F}$ be events with $\mathrm{P}(\mathrm{E})=\frac{3}{5}, \mathrm{P}(\mathrm{F})$ $=\frac{3}{10}$ and $\mathrm{P}(\mathrm{E} \cap \mathrm{F})=\frac{1}{5} .$ Are $\mathrm{E}$ and $\mathrm{F}$ independent ?

medium

A card is drawn from a pack of $52$ cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet

easy

A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing $15$ oranges out of which $12$ are good and $3$ are bad ones will be approved for sale.

medium