1. A student who has not studied for a 10-question multiple-choice test, with 4 choices among the answers (a, b, c, d) for each question, decides to simulate such a test and answer the questions according to a simulation in which each choice of answer has the same probability. Use technology to generate a simulated answer sheet. Assume that the correct answers are a, b, b, c, d, d, a, c, b, a. What is the student's score?
2. In sampling 4 balls at random from an urn containing 30 balls, without replacement after each draw, we consider the balls as numbered 1 to 30. In selecting random whole numbers from 1 to 30, we ignore any number that has already been selected and continue the selection until we
obtain a sample of size 4. Assume that there are 20 red balls and 10 green balls in the urn. Draw 10 samples of size 4, and tabulate the number of red balls in each sample. Compare your results with the theoretical probability.