A paint store carries thirteen brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store recently. She can'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 thirteen brands at random and buys them. Complete parts a and b below.

Part 1

a. What is the probability that she matched the paint brand?

(Round to four decimal places as needed.)

Part 2

b. Her husband also goes to the paint store and fails to remember what brand to buy. So he also purchases

two of the thirteen 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 the husband's selections independent of his wife's selections?)

(Round to four decimal places as needed.)