Question

question 9 of 10
a and b are mutually exclusive events. ( p(a)=0.50 ) and ( p(b)=0.30 ). what is ( p(a \text{ or } b) )?
a. 0.20
b. 0.90
c. 0.80
d. 0.65

Explanation:

Step1: Recall the formula for mutually exclusive events

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

Step2: Substitute the given values

Given \(P(A) = 0.50\) and \(P(B)=0.30\), then \(P(A\ or\ B)=0.50 + 0.30\)

Step3: Calculate the result

\(0.50+0.30 = 0.80\)

Answer:

C. 0.80