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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%.
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If A and B are independent then P(A|B) = P(A). Since P(A) = 0.83, it must be true that the probability that A occurs given B occurs is 83%.
(The other statements need not hold: P(B) can be any value in [0,1], and P(B|A)=P(B), not necessarily 0.83.)
(The other statements need not hold: P(B) can be any value in [0,1], and P(B|A)=P(B), not necessarily 0.83.)
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