Each of 12 ordered boxes contains 12 coins, consisting of pennies and dimes. The number of dimes in each box is equal to its order among the boxes, that is, box 1 contains one dime and 11 pennies, box 2 contains two dimes and 10 pennies, and so on. A pair of fair dice is tossed, and the total indicates which box is chosen to have a coin selected at random from it. Find the probability that the coin selected is a dime.
Can you please explain how you get your answer, or show your work