Pregunta
What is the definition of a compound event in probability?
Ask by Bolton Newton. in South Africa
Jan 08,2025
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A compound event in probability is an event made up of two or more simple events combined using “and” or “or.” For example, rolling an even number on a die includes rolling a 2, 4, or 6.
Solución
A compound event in probability is an event that consists of two or more simple events. Simple events are the most basic outcomes of a probability experiment, while compound events are 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 could be rolling a 1, 2, 3, 4, 5, or 6. A compound event could be rolling an even number (which includes the simple events of rolling a 2, 4, or 6) or rolling a number greater than 3 (which includes the simple events of rolling a 4, 5, or 6).
In summary, a compound event encompasses multiple outcomes and can be analyzed using the rules of probability to determine the likelihood of its occurrence.
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A compound event in probability combines two or more simple events. For example, if you roll a die and flip a coin, the compound event could be getting a 4 on the die and heads on the coin. This event considers all possible outcomes, making it a fun challenge to calculate the total probability of this combination happening!
Understanding compound events is not just theoretical; it has real-world applications! Think about weather forecasts, where meteorologists assess the probability of various conditions happening simultaneously, like rain and wind. This helps us prepare for that perfect storm—or sunny day at the park!
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