What is a compound event?

A compound event in probability refers to the occurrence of two or more events happening at the same time or in sequence.

For example, if you are rolling a dice and flipping a coin at the same time, the outcome of both the dice roll and coin flip together would be considered a compound event.

Compound events can be classified into different types, such as independent events, dependent events, mutually exclusive events, and non-mutually exclusive events.

Calculating the probability of compound events involves understanding the relationship between the individual events and how they affect each other. This can be done using the multiplication rule, addition rule, or conditional probability, depending on the specific scenario.

Overall, understanding compound events is important in probability theory as it helps in predicting the likelihood of multiple events occurring together and making informed decisions based on those probabilities.