The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 40 trials and got the following results. Outcome 0 1 2 3 4 5 6 7 8 9
Number of Trials 3 6 3 4 2 2 4 5 3 8

1. Assuming that the machine is fair, compute the theoretical probability of getting an 8 or 9?
2. From these results, compute experimental probability of getting 8 or 9?
3. Assuming that the machine is fair choose the statement below that is true:

a. with a small number of trails, it is suprising when the experimental probability is much less than the theoretical probability.
b. with a small number of trials, it is not suprising when the experimental probability is much less than the theoretical probability.
c. with a small number of trials, the experimental probability will always be much less than the theoretical probability.