The odds of an event are 4 to 3. What is the probability of the event?

Answer 1

Odds are often given as a ratio of desired outcomes to undesired outcomes. So odds of 4 to 3 mean that for every 4 wins there are 3 losses. Probability is given as a ratio of desired outcomes to TOTAL possible outcomes. So if there are 4 desirable outcomes and 3 undesirable outcomes, there are a total of 7 outcomes. Therefore the probability of an event with 4 to 3 odds is 4/7. You can also express this as about 0.57 or 57% if you want. But fractions are usually more exact than an approximated decimal or percentage value.

Answer 2

The odds of an event are the number of successes divided by the number of failures where probability is the number of successes divided by the total number of events.

If there are 4 successes and 3 failures, there must have been 7 total events. So the probability is 4/7