Question

23 what is the probability of either event occurring when two events are mutually exclusive and each has a probability of 0.5?
a. 0.5
b. 1.0
c. 0.75
d. 0.25

Explanation:

Step1: Recall the formula for mutually - exclusive events

For two mutually - exclusive events \(A\) and \(B\), the probability of either \(A\) or \(B\) occurring is \(P(A\cup B)=P(A)+P(B)\).

Step2: Substitute the given probabilities

Given \(P(A) = 0.5\) and \(P(B)=0.5\). Then \(P(A\cup B)=0.5 + 0.5\).

Answer:

\(P(A\cup B)=1.0\), so the answer is b. 1.0