Question

fill in the blank.

for two events a and b, if the occurrence of either event in no way affects the probability of the occurrence of the other event, then the two events are considered to be ______ events.

Explanation:

Analyze the definition of event relationships

The statement describes a scenario where the occurrence of one event has no effect on the probability of the occurrence of another event.

Identify the matching probability term

By definition, two events \(A\) and \(B\) are independent if the occurrence of \(A\) does not affect the probability of \(B\) occurring, and vice versa.

Answer:

For two events A and B, if the occurrence of either event in no way affects the probability of the occurrence of the other event, then the two events are considered to be <blank>independent</blank> events.