If the odds against the occurrence of an event be 4 : 7, find the probability of the occurrence of the event.

Question

Philoid · Accepted Answer

We know that,

If odds in favor of the occurrence an event are a:b, then the probability of an event to occur is , similarly, if odds are not in the favor of the occurrence an event are a:b, then the probability of not occurrence of the event

is

We also know that,

Probability of occurring = 1 - the probability of not occurring

Given a = 4 and b = 7

Probability of occurrence

Conclusion: Probability that the event occurs is