Question

If P(A) = 0.60 and P(B) = 0.20, then A and B are independent events if

Answer 1

Explanation:

p(a and b) = 0.12

Answer 2

`P(A\cap B)=0.12`

Explanation:

If two events, A and B are independent, then
`P(A\cap B)=P(A)* P(B)`, otherwise the two events are dependent.

If P(A)=0.60 and P(B) =0.20, then A and B are independent events, if

`P(A\cap B)=0.60* 0.20`

`\implies P(A\cap B)=0.12`

Therefore the best complete is:

If P(A) = 0.60 and P(B) = 0.20, then A and B are independent events if
`P(A\cap B)=0.12`