17. Which term refers to two events that cannot occur at the same time?
Answer: D
Mutually exclusive
The term that refers to two events that cannot occur at the same time is "mutually exclusive." This concept indicates that if one event occurs, the other cannot happen simultaneously.
A) Random
The term "random" does not relate to events that cannot occur simultaneously. Instead, it refers to outcomes that are determined by chance, without any predictable pattern or relationship between them.
B) Dependent
"Dependent" describes a scenario where the occurrence of one event affects the probability of another event occurring. This is contrary to the definition of mutually exclusive events, which cannot both happen at the same time.
C) Independent
"Independent" refers to events that do not influence each other's occurrence. While they can happen simultaneously, this term does not imply that they cannot occur together, making it incorrect in the context of the question.
D) Mutually exclusive
"Mutually exclusive" is the correct term as it specifically describes events that cannot happen at the same time. When one event occurs, it entirely prevents the other from occurring, which aligns perfectly with the question's definition.
Conclusion
The correct answer is "mutually exclusive" because it accurately defines events that cannot occur together. In contrast, the other options—random, dependent, and independent—do not provide this specific relationship between events, thus affirming the uniqueness of the correct answer.