The events A and B are independent. The probability that event A occurs is p and the probability that event B occurs is q. Which of the following is equal to the probability that exactly one of the events A and B occurs?  Choose the correct choice from the following choices.
A) p − 2pq B) q − pq C) p + q − 2pq D) p + q − pq E) p + q
Probability of A occuring = p , Probability of A NOT occuring = 1-p   Probability of B occuring = q , Probability of B not occurring = 1-q   Probability of atleast of one of A and B occuring = 1-(1-p)(1-q) = p+q -pq   Answer:p + q − pq
<result>D</result>
The events A and B are independent. The probability that event A occurs is p and the probability that event B occurs is q. Which of the following is equal to the probability that exactly one of the events A and B occurs?