If A and B are two events,what is the probabi | vedclass

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(B) The probability that exactly one of the events $A$ or $B$ occurs is given by the probability that $A$ occurs and $B$ does not,or $B$ occurs and $A

Vedclass · Accepted Answer

$P(A) + P(B) - 2P(A \cap B)$

Vedclass · Answer

(B) The probability that exactly one of the events $A$ or $B$ occurs is given by the probability that $A$ occurs and $B$ does not,or $B$ occurs and $A$ does not.This is expressed as: $P(A \cap \bar{B}) + P(\bar{A} \cap B)$Using the property $P(A \cap \bar{B}) = P(A) - P(A \cap B)$ and $P(\bar{A} \cap B) = P(B) - P(A \cap B)$,We get: $P(A) - P(A \cap B) + P(B) - P(A \cap B)$$= P(A) + P(B) - 2P(A \cap B)$

If $A$ and $B$ are two events,what is the probability that exactly one of them occurs?

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