The donkey and the owl have 16 playing cards, each marked with a number from the set {123.4} and a letter from the set {A,B,C,D} so that every combination of number and letter appears exactly once. They can't decide if they want to eat pizza or soup and so they randomly pick 2 cards simultaneously and decide what to eat according to the following rule: . If the 2 cards have a number ora letterin common then the donkey chooses what they eat, and othenNise the owl chooses. . If the donkey is choosing, they will have pizza if the 2 cards have a number in common and otherwise they will have soup. . If the owl is choosing, it is equally likely they will have pizza or soup. Compute the following: 1. The probability that the donkey chooses what they eat is 2. If the donkey chooses, the probability they will have pizza is i i. 3. The probability they will have pizza is i. 4. If they have soup, the probability that the choice was made by the owl is