Eight young students need mentors. Of these, there are three whom you enjoy being with while you are indifferent about the others. Two of the students will be randomly assigned to you. Label the students you like by 0, 1, and 2 and the others by 3, 4, 5, 6, and 7. Then, the process of assigning two students at random is equivalent to choosing two different digits from the table of random digits and ignoring any 8 or 9. Repeat the experiment of assigning two students 20 times by using the table of random digits. Record the pairs of digits you draw for each experiment.
(a) What is the proportion of the 20 experiments that give two students that you like?
(b) What is the proportion of the 20 experiments that give one of the students you like and one other?
(c) What is the proportion of the 20 experiments that give none of the students you like?