CAT4 Practice Exam 2025 – Complete Exam Prep Guide

Question: 1 / 400

According to the conjunction rule, how do probabilities of co-occurring events relate to individual event probabilities?

They are always equal

They are greater than individual event probabilities

They are less than or equal to individual event probabilities

The conjunction rule in probability states that the probability of the co-occurrence of two events cannot be greater than the probability of either individual event. This means that when considering the probability of both events happening together, that probability is constrained by the individual probabilities of each event.

For any two events, the probability of both occurring simultaneously is mathematically defined as the joint probability, which is calculated as the product of the individual probabilities if the events are independent. However, if the events are dependent, the combined probability can be even lower. Therefore, the combined probability of two events must always be less than or equal to the probability of each individual event occurring alone. This is why the assertion that the probabilities of co-occurring events are less than or equal to individual event probabilities is accurate.

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They are independent of one another

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