Question

1. given event a, event b, and event c. event a and event b are mutually exclusive. event a and event c are not mutually exclusive.

p(a) = 0.45
p(b) = 0.35
p(c) = 0.25
what is the probability of the intersection of a and b?
0.64
0
0.80
0.10

Explanation:

Step1: Recall Mutually Exclusive Definition

Mutually exclusive events can't occur together, so \( P(A \cap B) = 0 \) by definition.

Step2: Apply to Given Events

Given A and B are mutually exclusive, so their intersection probability is 0.

Answer:

0 (corresponding to the option with value 0)