Question: One of the following hundred numbers is selected at random:

00 01 09

10 11 19

90 91 ... 99

Find the probabilities of the following events:

a) The first digit is 5 or 7.

b) The second digit is 2.

c) Neither digit exceeds 3.

d) Both digits exceed 3.

e) Only one of the digits exceeds 3.

f) The first digit exceeds 3 and the second does not.

g) The two digits are equal.

h) The two digits are unequal.

i) The second digit is larger than the first.

j) The second digit is at least as large as the first.

k) The sum of the two digits is 5.

l) The sum of the two digits is more than 15.