6
QuizMultiple Choice

Conditional Probability

Question 6 • TN-Algebra II B SC 26-27 (For Credit)

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

Answer
A
The probability that event B occurs is 17%.
B
The probability that event B occurs is 83%.
C
The probability that event A occurs, given that event B occurs, is 83%.
D
The probability that event B occurs, given that event A occurs, is 83%.

Explanation

For independent events, knowing that B occurred does not change the probability of A: P(A | B) = P(A). Since P(A) is 83%, the probability that A occurs given that B occurs is 83%. Independence does not determine the probability of B, so it need not be 17% or 83%.

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