Question

Need help now my dad and I are racing Events A and B are mutually exclusive.
Also, P(A) = 0.15 and P(B) = 0.2.

What is P(A or B)?

A.
0.35

B.
0.03

C.
0.20

D.
0.05

Answer 1

so it A?

Answer 2

if A and B are mutually exclusive, we're being told that there is no possibility that both occur together, i.e. \(P(A\cap B)=P(A|B)=P(B|A)=0\). now, what does this tell us about \(P(A\cup B)\)?

Answer 3

recall \(P(A\cup B)=P(A)+P(B)\color{red}{-P(A\cap B)}\)... and we're told that \(P(A\cap B)=0\), so \(P(A\cup B)=P(A)+P(B)\color{red}{-0}=P(A)+P(B)\)