Question

  

A shop knows from experience that the chances of a customer returning goods for minor adjustments are 3 out of 10. In addition, 70% of all returned goods are bought with credit whilst half of all goods not returned are from cash sales. A|(Assume sales are transacted through either credit or cash) (1) If 2 of the customers are selected randomly, one after another, what is the probability of selecting one customer returning goods and one customer who does not return goods for minor adjustment? (2) If 2 of the customers are selected randomly, one after another, what is the probability of selecting at least one customer returning goods for minor adjustment? (3) If 2 of the customers are selected randomly, one after another, what is the probability of selecting three customers returning goods for minor adjustment? (4) If it is known that it is a credit sale, what is the probability that it will be returned? (5) If it is known that it is a cash sale, what is the probability that it will not be returned? (6) 60% of all returned credit sales goods cost $200 or more and 45% of all goods purchased for $200 or more are credit sales. Find the probability that an item costing $200 or more is a credit sale, and that it will be returned.