To promote sales a retailer special scratch-coupons. When the shopper makes a purchase,

the clerk scratches o the covering to reveal the amount of the discount. The discount is 10%, 30%

and 50% of the initial amount. 7/8 of the coupons give the shopper 10%, 3/32 give 30% , and

1/32 give 50% . Suppose that half of the customers purchase a sweater that retails for $100 and

another half purchases a suit that retails for $150. Whats the probability that a randomly selected

customer saves more than $40 by using one of these coupons?