If the odds against an event are 3 to 5, what is the probability of the event occurring?

Question

It's probability

Answer 1

probability = wanted outcomes / total outcomes

odds = wanted outcomes / unwanted outcomes

 

odds of 3/5 losing means 3 losing outcomes and 5 winning outcomes.

The total outcomes is 8

 

The probability of losing is 3/8. Yet we want the probability of winning.

 

Provability of winning is 1 - probability of losing.

 

1 - 3/8 = 5/8

 

The probability of winning is 5/8.