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If the odds favour of an event be 3/5, find the probability of the occurrence of the event.

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If the odds favour of an event be 3/5, find the probability of the occurrence of the event. Select the correct answer from above options

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Let the given event be E and let P(E) = x. Then, odd in favour of E= P(E) 1-P(E) ⇔ P(E) 1-P(E) = 3 5 ⇔ x (1-x) = 3 5 ⇔5x=3-3x⇔8x=3⇔x= 3 8 . ∴ required probability = 3 8 .

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