Two numbers will be selected at random without replacement from {0,1,...,9}. Let X be the smaller of the two numbers selected. For example, if the numbers selected turn out to be 5 and 7 (order of selection does not matter), then X=5. Find the distribution of X, i.e., the possible values and their probabilities. (You may note that altogether 45 different pairs can be selected from {0,1,...,9}.)
a. 7/18
b. 1/5
c. 7/9
d. 1/6
e. 2/15