The events A and B are independent. The probability that event A occurs is x and the probability that event B occurs is y. Which of the following is equal to the probability that exactly one of the events A and B occurs?	Choices
A) x − 2xy	B) y − xy	C) x + y − 2xy	D) x + y − xy	E) x + y
Probability of A occuring = x , Probability of A NOT occuring = 1-x   Probability of B occuring = y , Probability of B not occurring = 1-y   Probability of atleast of one of A and B occuring = 1-(1-x)(1-y) =x+y -xy   x + y − xy
<result>D</result>
The events A and B are independent. The probability that event A occurs is x and the probability that event B occurs is y. Which of the following is equal to the probability that exactly one of the events A and B occurs?