Q72 of 108 Page 271

If the events A and B are independent, then P(A ∩ B) is equal to

If the events A and B are independent, then we know

P(A ∩ B)=P(A).P(B)

Prove: From the definition of the independent Event,

We know,

And, Also

If two events are independent, then

Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to

Two events E and F are independent. If P(E) = 0.3, P(E ∪ F) = 0.5, then P(E | F)–P(F | E) equals

A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is