Question

If A and B are independent events, P(A)=.9, and P(B)=.7, find P(A U B)

Answer 1

\[P(A\cup B)=P(A)+P(B)-P(A\cap B)\]
Since \(A\) and \(B\) are independent, this means \(P(A\cap B)=P(A)P(B)\).
\[P(A\cup B)=P(A)+P(B)-P(A)P(B)\]

Answer 2

.97 ??

Answer 3

yes