Question

fill in the blank. two events a and b are ______ if the occurrence of one does not affect the probability of the occurrence of the other. two events a and b are dropdown if the occurrence of one does not affect the probability of the occurrence of the other. options: dependent, disjoint, mutually exclusive, independent.

Explanation:

To solve this, we recall the definitions of the terms:

• "Dependent" means the occurrence of one affects the other, so this is incorrect.
• "Disjoint" (or mutually exclusive) means the events cannot occur at the same time, not related to probability influence, so incorrect.
• "Mutually exclusive" is the same as disjoint, incorrect.
• "Independent" is defined as the occurrence of one event not affecting the probability of the other.

Answer:

independent