Question

The Venn diagram shows the results of two events resulting from rolling a number cube.

Events C and D are____.


P(C) = 1/3

P(D) = 1/3

P(C ∩ D) = 0

P(C | D) ≠ 0

This is geometry, dealing with conditional probability.

Answer 1

Events C and D are mutually exclusive.

P(C ∩ D) = 0

Explanation:

We notice that event C is even numbers and Event D is odd number. We cannot roll a die and have both events occur at the same time. That means they are mutually exclusive. Either one event occurs or the other occurs.

P(C ∩ D) = 0 This means the events do not intersect (overlap). Or are mutually exclusive.