Question

In an experiment, the probability that event A occurs is 2/3,

the probability that event B occurs is 1/3,
and the probability that events A and B both occur is 1/9
Are A and B independent events?

Answer 1

The probability that event B does not occur is 1 - 1/3 = 2/3. Since we want the probability that A occurs AND that B does not occur, we multiply their respective probabilities. Thus, the probability that event A occurs but event B does not occur is 1/2 x 2/3 = 1/3.

Explanation: