Question

If P(A)= 0.70 and P(B) = 0.20, then A and B are independent events if?

Answer 1

Answer:

Step-by-step explanation:

P(A) = 0.70

P(B) = 0.20

P(A n B) = P(A) x P(B)

P(A n B) = 0.70 x 0.20

P(A n B) = 0.14

"Or" means that they are mutually exclusive, which it does not specifically mention, therefore B and C are out.

Answer 2

Answer: A. P(A and B) = 0.14

Step-by-step explanation:

The two events A and B are independent if the Intersection of the probability of both events is equal to the product of the event individual probability. This also means that the occurrence of one event does not affect the other event. Mathematically,

P(AnB) = P(A)(B)

P(AnB) = 0.70×0.20

P(AnB) = 0.14

P(A and B) = 0.14