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

Question

asked May 15, 2020 92.8k views

2 Answers

Shiki · Answer 1 · 2020-05-21T21:13:02+0000

Answer:

$P(A\cap B)=0.12$

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
$P(A\cap B)=0.12$