# Thread: What is the prob that none of these events occur

1. ## What is the prob that none of these events occur

Hello,

I'm unsure about the following question:

There are two events, A and B.
P(A)= 0,5
P(B)= 0,3
P(AnB)= 0,2 (intersect)

The question is what is the probability that none of these events occur. What confuses me is the fact that P(AnB) is not 0,15.

Is the right answer 0,35? If so, how did you reason?

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.5+0.3-0.2=0.6$
$P(\bar{A}\cup \bar{B})=1-P(A\cup B)=0.4$