Question

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?


The probability that event B occurs is 17%.

The probability that event B occurs is 83%.

The probability that event A occurs, given that event B occurs, is 83%.

The probability that event B occurs, given that event A occurs, is 83%.

Answer 1

If they are independent then event B does not affect the probability of A IN ANY WAY.

You are told that P(A) = 83%
It is independent of B

Answer 2

If two events A and B are independent, then the probability of A occurring is unaffected by whether or not B has occurred. Therefore:
P(A | B) = P(A)
The probability that event A occurs, given that event B occurs, is 83%.

Answer 3

@kropot72
It is not acceptable to give complete answers - it is forbidden by the code of conduct.

It is better to give hints and guide the poster to get to the answer for themselves.

since the poster is offline - would you delete your answer please?

Answer 4

There is a complete explanation with my answer, so I do not feel that I breached the C0C. However I would be the first to concede that my position on this particular thread is debatable.

Answer 5

It is independent B since the event of A occurs