Question

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?​

Answer 1

p(A n ~B) = p(~B) × p(A/~B)

A and B are independent

so p(A/~B) =p(A)

p(An~B) = p(~B) *p(A)

p(~B) = 1-0.7 =0.3

p(A) =0.5

answer = 0.3×0.5 =0.15