Question 53
Tac is dressing his cat to go outside. He has four indistinguishable socks, four indistinguishable shoes, and four indistinguishable snow-shoes. In a hurry, Tac randomly pulls pieces of clothing out of a drawer and tries to put them on a random one of his cat's legs; however, Tac never tries to put more than one of each type of clothing on each leg of his cat. What is the probability that, after Tac is done, the snow-shoe on each of his cat's legs is on top of the shoe, which is on top of the sock?