Question

If P(A) = 0.3 and P(B)=0.4 and P(A∩B) = 0.12, are A and B independent?

Answer 1

If it were independent then \[
\Pr(A\cap B) = \Pr(A)\times \Pr(B)
\]

Answer 2

Plug in the values and see if this equation holds.

Answer 3

If P(AυB) = 0.7, what is P(A∩B)? i got 0

Answer 4

What? They didn't give you \(\Pr(A\cup B)\).

Answer 5

oh its 0.7

Answer 6

i got 0 as the answer, is it right