Question

question 10
1 point
if event a happens with a probability of 0.4 and event b happens with a probability of 0.5 and they are mutually exclusive, what is the probability of either a or b occurring?
(a) 0.4
(b) 0.5
(c) 0.9
(d) 0.2

Explanation:

Step1: Recall probability formula for mutually - exclusive events

For mutually exclusive events \(A\) and \(B\), \(P(A\cup B)=P(A)+P(B)\).

Step2: Substitute given values

Given \(P(A) = 0.4\) and \(P(B)=0.5\), then \(P(A\cup B)=0.4 + 0.5\).

Step3: Calculate the result

\(P(A\cup B)=0.9\)

Answer:

C. 0.9