A building contractor buys 70 of his cement from supplier A

A building contractor buys 70% of his cement from supplier A, and the rest from supplier B. of the bags delivered by the supplier A 90% are undamaged and from supplier B 95% are undamaged. Give the probability that a particular damaged bag is from supplier A.

Solution

The probability that a particular damaged bag is from supplier A:

P(Damaged/A)

=P(Damaged and A)/P(A)

=0.10/0.70

=0.14