If events cap A and cap b are independent, and the probability that event cap A occurs is 83 percent , what must be true?
Answer
A
The probability that event cap A occurs, given that event cap b occurs, is 83 percent .
B
The probability that event cap b occurs is 83 percent .
C
The probability that event cap b occurs is 17 percent .
D
The probability that event cap b occurs, given that event cap A occurs, is 83 percent .
Explanation
For independent events, knowing that event B occurred does not change the probability of event A: P(A | B) = P(A). Since P(A) is 83 percent, the probability of A given B is also 83 percent. The probability of B itself is not determined by the information given.
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