Question

What is the definition of a compound event in probability?

Ask by Burgess Welch. in South Africa
Jan 23,2025

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Answer

A compound event in probability is an event made up of two or more simple events combined using "and" or "or."

Solution

A compound event in probability is an event that consists of two or more simple events. Simple events are the most basic outcomes that cannot be broken down further. A compound event can be formed by combining these simple events using logical operations such as "and" (intersection) or "or" (union). For example: - If you roll a die, the simple events are the outcomes {1, 2, 3, 4, 5, 6}. A compound event could be "rolling an even number" which includes the simple events {2, 4, 6}. - Another example of a compound event could be "rolling a number greater than 4 or rolling a 2," which combines the simple events {5, 6} and {2}. In summary, a compound event is any event that can be expressed as a combination of two or more simple events.

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Bonus Knowledge

A compound event in probability refers to an event that is formed by combining two or more simple events. Think of it like a tasty recipe where each ingredient contributes to the final dish! For example, flipping a coin and rolling a die at the same time creates a compound event since you're interested in the outcomes of both actions together. The richness of compound events adds excitement to probability as it allows us to explore various outcomes simultaneously! One common mistake when dealing with compound events is assuming the events are always dependent. It’s crucial to distinguish between independent events (where the outcome of one does not affect the other) and dependent ones. For instance, drawing a card from a deck and then rolling a die are independent events. Misunderstanding this relationship could lead to incorrect calculations, so always analyze the events carefully before jumping to conclusions!

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