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

1000

trials and got the following results.

Outcome	0	1	2	3	4	5	6	7	8	9
Number of Trials	98	106	96	96	109	103	104	90	103	95

Answer the following. Round your answers to the nearest thousandths.

(a)From these results, compute the experimental probability of getting a

9

.

(b)Assuming that the machine is fair, compute the theoretical probability of getting a

9

.

(c)Assuming that the machine is fair, choose the statement below that is true.

The larger the number of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability.

The smaller the number of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability.

The experimental probability will never be very close to the theoretical probability, no matter the number of trials.