If the odd in favour of an event are $4$ to $7$ , find the probability of its occurrence.

\frac{4}{5}

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\frac{3}{11}

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\frac{4}{11}

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\frac{7}{11}

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Solution

The correct option is B $\frac{4}{11}$
The odds in favour of the event is $4 : 7$
Favourable elements for event $A$ is $4 x$
Unfavourable elements for event $A$ is $7 x$
Therefore, the probability that an event occurs
$= \frac{4 x}{4 x + 7 x} = \frac{4}{11}$

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Similar questions

If the probability of the occurrence of a certain event E is $\frac{3}{11}$ , find

(i) The odds in favour of its occurrence. and

(ii) The odds against its occurrence.

4

7

If the odds in favour of an event be $\frac{3}{3}$ , find the probability of the occurrence of the event.

3 : 5

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