Question
What is the definition of a compound event in probability?
Ask by Mills Zimmerman. in South Africa
Jan 26,2025
Upstudy AI Solution
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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 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 die and flipping a coin. The compound event could be defined as rolling a 3 and getting heads, which combines the simple events of rolling a 3 and flipping heads.
In summary, a compound event is a combination of two or more simple events, and it can be analyzed using the rules of probability to determine its likelihood.
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A compound event in probability is like a thrilling combo deal! It occurs when two or more simple events, which are the individual outcomes of an experiment, are combined. For instance, if you toss a coin and roll a die at the same time, the outcome of the coin toss (heads or tails) and the number that appears on the die (1 through 6) create a compound event. Picture all the possible combinations like a fun game of chance!
In real-world scenarios, compound events pop up everywhere! When predicting the weather, the chance of it being sunny or rainy combined with the likelihood of having a mild or extreme temperature can be considered a compound event. This allows meteorologists to provide more detailed forecasts, helping you decide whether to grab an umbrella and raincoat or plan a picnic in the sun!
