Question

If odds in favour of an event be 2 : 3, find the probability of occurrence of this event.

 

Answer 1

If odds in favour of an event A are a : b, then probability of happening of event A = P(A) = \[\frac{a}{a + b}\]

It is given that the odds in favour of an event are 2 : 3.
Thus, n(S) = 2k + 3k = 5k and n(E) = 2k
Hence, probability of occurrence of this event = \[\frac{n\left( E \right)}{n\left( S \right)} = \frac{2k}{5k} = \frac{2}{5}\]