Probability

[Abdulla]

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?

A) p − 2pq
B) q − pq
C) p + q − 2pq
D) p + q − pq
E) p + q

[anayeri]

Rule: P(A or B) = P(A) + P(B) - P(A and B),

So answer d

[Abdulla]

OA C

[trisai]

Q:exactly one of the events A and B occurs?



event A occurs only = p(1-q)
event B occurs only = (1-p)q

then = p-pq+q-pq
= p+q-2pq