Probability that only event A occurs?

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February 18th 2010, 10:40 AM
dynas7y

Probability that only event A occurs?

Suppose there are three events, A, B, and C. You are also given the values of: P(A), P(B), P(C), P(A intersect B), P(B intersect C), P(A intersect C), and P(A intersect B intersect C). How would you find the probability that only event A occurs?
February 18th 2010, 11:38 AM
Plato

Quote:

Originally Posted by dynas7y

Suppose there are three events, A, B, and C. You are also given the values of: P(A), P(B), P(C), P(A intersect B), P(B intersect C), P(A intersect C), and P(A intersect B intersect C). How would you find the probability that only event A occurs?

What you want is $P\left(AB^cC^c\right)$ , probability of A and not B and not C.
I suggest you draw a Venn diagram to see this.
$P\left(AB^cC^c\right)=P(A)-P(AB)-P(AC)+P(ABC)$
February 18th 2010, 12:29 PM
dynas7y

Ahh, I see. That makes a lot of sense now. Thanks a lot for the quick reply (Clapping)

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