Question

The probability of A is 3/5, the probability of B is 15/16. The probability of A intersection B is 9/16. Are A and B independent events?

Answer 1

P(A or B) = P(A) + P(B) - P(A and B)

= 3/5 + 15/16 - (3/5)(15/16)

= 48/80 + 75/80 - 45/80

= 78/80

So A and B are not independent events because P(A and B) is not equal to 1.