Test Index

Probability

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Question : 15 of 127

Marks: +1, -0

If

P: q

are the odds in favour of an event, then the probability of that event is

p/q
$\;\frac{P}{p+q}$
$\;\frac{q}{p+q}$
none

Solution:

Concept:

Odds in favour of an event are the ratio of favourable outcomes to unfavourable outcomes.

Explanation:

If odds in favour are

p : q

, then favourable outcomes =

p

and unfavourable outcomes =

q

.

Total outcomes =

p + q

.

Probability =

\frac{\text{favourable}}{\text{total}} = \frac{p}{p+q}

.

Answer:

\displaystyle \frac{P}{p+q}

(option B).

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