Question

determine where events b and c are independent, mutually exclusive both or neither. P(B) = 0.56

P(B and C) =0.12

P(C)=0.23

Answer 1

P(B) = 0.56

P(C) = 0.23

P(B C) = 0.12

To check whether two events are independent. We need to check whether P(B C) = P(B) * P(C). If this equation holds, then two events are independent.

Now calculate P(B) * P(C) = 0.56* 0.23 = 0.1288 P(B C) = 0.12

These two events are not independent.

These two events are not mutually exclusive for sure, as P(B C) 0.