Which term describes events that cannot occur at the same time?

Which term describes events that cannot occur at the same time?

• A. Mutually Exclusive
• B. Independent
• C. Dependent
• D. Posterior

Answer: (A)

Mutually exclusive describes events that cannot occur at the same time. In a single trial, only one outcome happens, so the two events have no overlap. For example, on one roll of a die, you cannot both roll a 3 and a 4. Because they can’t happen together, the probability of either event occurring is simply the sum of their individual probabilities: P(rolling a 3 or a 4) = P(rolling a 3) + P(rolling a 4). Independent events, on the other hand, can happen together and their occurrence doesn’t affect each other’s probabilities. Dependent events can also happen together, but the probability of one changes after the other occurs. Posterior is a Bayesian term about updating probabilities after observing data.

Mutually exclusive describes events that cannot occur at the same time. In a single trial, only one outcome happens, so the two events have no overlap. For example, on one roll of a die, you cannot both roll a 3 and a 4. Because they can’t happen together, the probability of either event occurring is simply the sum of their individual probabilities: P(rolling a 3 or a 4) = P(rolling a 3) + P(rolling a 4).

Independent events, on the other hand, can happen together and their occurrence doesn’t affect each other’s probabilities. Dependent events can also happen together, but the probability of one changes after the other occurs. Posterior is a Bayesian term about updating probabilities after observing data.