Question

4. A computer randomly prints a three-digit string of numbers. The string consists only of the digits 0, 1, 2, or 3 and satisfies the extra condition that the sum of its digits is 3. As an example, 021 is one such string. • Let A be the event that the printed string contains two o's. • Let B be the event that the printed string contains one 0. • Let C be the even that the printed string contains no o's. Assuming that all strings of numbers are equally likely to be chosen, find the probabilities P(A), P(B), and PC).