A paint store carries nineteen brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store recently. Shecan't recall the brand name and does not wish to return home to find the old can of paint. So she selects two of the nineteen brands at random and buys them.

a. What is the probability that she matched the paintbrand? (Round to four decimal places asneeded.)

b. Her husband also goes to the paint store and fails to remember what brand to buy. So he also purchases two of the nineteen brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint.(Hint: Are thehusband's selections independent of hiswife's selections?) (Round to four decimal places asneeded.)