Enter the probability of event A occurring and the probability of event B occurring into the compound probability calculator. The calculator will display the probability of both events happening.

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## Compound Probability Formula

The following formula is used to calculate a compound probability.

PA & PB = PA*PB

- Where PA&PB is the probability of both events A and B occurring
- PA is the probability of event A
- PB is the probability of event B

## Compound Probability Definition

A compound probability is the chance of two events both happening. In most cases, we say this as events A and B. To get the probability of these events both happening, you need to first get the probabilities of these happening on their own. Once you have the chances of the individual events happening, you simply multiply the two chances to get the probability of both happening. It’s important to note that this must be their probability in terms of ratio, not percent.

## How to calculate compound probability?

How to calculate compound probability?

**First, determine the probability of event A.**Calculate the chance of event A occurring.

**Next, determine the probability of event B.**Calculate the chance of event B occurring.

**Finally, calculate the compound probability.**Calculate the compound probability using the formula above.

## FAQ

**What is a compound probability?**

A compound probability is the total chance or probability of two independent events both occurring.