There are four tickets numbered 1, 2, 3, and 4. Suppose a two-digit number will be formed by first drawing one ticket at random and then drawing a second ticket at random from the remaining three. (For instance, if the first ticket drawn shows 3 and the second shows 1, the number recorded is 31.) List the sample space and determine the following probabilities.
(a) An even number.
(b) A number larger than 20.
(c) A number between 22 and 30.