Final answer:
In probability theory, events can be dependent or independent, impacting the likelihood of future outcomes. Recognizing this distinction is essential for accurate probability calculations.
Explanation:
A compound event may consist of dependent or independent events.
In probability theory, dependent events are events where the outcome of the first event affects the outcome of the second event. On the other hand, independent events are events where the outcome of one event does not affect the outcome of the other. For example, the probabilities of flipping a coin and rolling a die are independent because the result of one does not impact the result of the other.
Understanding the difference between dependent and independent events is crucial in accurately calculating probabilities in various scenarios.
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