A warehouse has the same model of product from two different manufacturer A and B , and each product has equal chance of originating from A or B. 10 % of product from A are defective , 5 % of product from B are defective . What is the probability that the product is defective -LRB- select from warehouse randomly -RRB- ?
What are two infinite nilpotent matrices A and B , for which the product AB is not nilpotent ?