The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ballwith one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 100trials and got the following results.Outcome0Number of Trials 811127310411510Answer the following. Round your answers to the nearest thousandths.67(a) From these results, compute the experimental probability of getting a 1.0712(b) Assuming that the machine is fair, compute the theoretical probability of getting a 1.0(c) Assuming that the machine is fair, choose the statement below that is true.O As the number of trials increases, we expect the experimental and theoreticalprobabilities tobecome closer, though they might not be equal.O The experimental and theoretical probabilities must always be equal.O As the number of trials increases, we expect the experimental and theoreticalprobabilities tobecome farther apart.812912X

Given,Total number of trials, n = 100Data table is,Outcome0123456789Number of Trials 81171011107121212Using formula,(a) The experimental probability of getting a 1 is,(b) Total outcomes if a machine choose a ball is 10 (from 0 to 9) and the outcome 1 occurs 1 time. The theoretical probability of getting a 1 is,(c) The correct statement isAs the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.(a) The experimental probability of getting a 1 is 0.110(b) The theoretical probability of getting a 1 is 0.100(c) The correct statement isAs the number of trials increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.