Question

4. |

Let A and B be two events such that P( A\B)= 0.4 , P(AUB) = 0.45 and
P(B)=0.75, where B is the complementary event of B.
(a) Find P(An B) and P(A).
(b) Are events A and B independent? Justify your answer.
(10 marks)

Answer 1

We are given:

P(A or B) = 0.75

P(B) = 0.25

P(A / B) = 0.5

We may calculate:

P(A / B) = P(A and B) / P(B)

0.50 = P(A and B) / 0.25

So, P(A and B) = 0.125