A researcher has to consult a recently published book. The probability of its being available is 0.5 for library A and 0.7 for library B. Assuming the two events to be statistically independent, find out the probability of the book being available in library A and not available in library B?
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The conditional probability of A given B , denoted P(A∣B) , is the probability that event A has occurred in a trial of a random experiment for which it is known that event B has definitely occurred. It may be computed by means of the following formula:
P(A∣B)=P(A∩B)P(B)(3.3.1)
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