if events a and b are independent, and the probability that event a occurs is 83%, what must be true?\nthe…

if events a and b are independent, and the probability that event a occurs is 83%, what must be true?\nthe probability that event b occurs is 17%.\nthe probability that event b occurs is 83%.\nthe probability that event a occurs, given that event b occurs, is 83%.\nthe probability that event b occurs, given that event a occurs, is 83%.

if events a and b are independent, and the probability that event a occurs is 83%, what must be true?\nthe probability that event b occurs is 17%.\nthe probability that event b occurs is 83%.\nthe probability that event a occurs, given that event b occurs, is 83%.\nthe probability that event b occurs, given that event a occurs, is 83%.

Answer

Answer:

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

Explanation:

Step1: Recall independence definition

If A and B are independent events, $P(A|B)=P(A)$.

Step2: Identify given probability

Given $P(A) = 0.83$.

Step3: Determine correct statement

Since $P(A|B)=P(A)$ for independent A and B, the probability that event A occurs, given that event B occurs, is 83%.