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Probability

Expert replies
by Abdulla » Tue Dec 09, 2008 7:12 pm
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
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Source: — Problem Solving |

by anayeri » Tue Dec 09, 2008 8:54 pm
Rule: P(A or B) = P(A) + P(B) - P(A and B),

So answer d
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by Abdulla » Tue Dec 09, 2008 9:24 pm
OA C :lol:
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by trisai » Tue Dec 09, 2008 9:49 pm
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
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