The probability of getting disease x (event a) is 0.65 and the probability of getting disease y (event b) is 0.76. the probability of getting both disease x and disease y is 0.494. are events a and b dependent or independent?

in this scenario, a and b are events.

ANSWER

EXPLANATION

Events A and B are independent events if and only if



We were given that, the probability of getting disease X, which is event A is,



and the probability of getting disease Y, which is event B, is



and



Now, let us find the probability of getting both disease X and Y,





Since



The two events are independent. Therefore A and B are independent events.