Question

Two events are independent if...

a. the occurrence of one has no effect on the probability of occurrence of another
b. the occurrence of one precludes the occurrence of another
c. the occurrence of one substantially alters the probability of occurrence of another
d. the sum of their probabilities equals one

Answer 1

Two events are independent if the occurrence of one has no effect on the probability of occurrence of another. The outcomes of two roles of a fair die are independent events.

Step-by-step explanation:

Two events are independent if:

1. The occurrence of one has no effect on the probability of occurrence of another.
2. The occurrence of one does not substantially alter the probability of occurrence of another.
3. The sum of their probabilities equals one.

For example, the outcomes of two roles of a fair die are independent events. The outcome of the first roll does not change the probability for the outcome of the second roll. To show two events are independent, you must fulfill any one of these conditions.