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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 100 trials and got the following results. Outcome 0 Number of Trials 8 1 11 2 7 3 10 4 11 5 10 Answer the following. Round your answers to the nearest thousandths. 6 7 (a) From these results, compute the experimental probability of getting a 1. 0 7 12 (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 theoretical probabilities to become 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 theoretical probabilities to become farther apart. 8 9 12 12 X

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 100 trials and got the following results. Outcome 0 Number of Trials 8 1 11 2 7 3 10 4 11 5 10 Answer the following. Round your answers to the nearest thousandths. 6 7 (a) From these results, compute the experimental probability of getting a 1. 0 7 12 (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 theoretical probabilities to become 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 theoretical probabilities to become farther apart. 8 9 12 12 X

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 37E
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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 100 trials and got the following results. Outcome 0 Number of Trials 8 1 11 2 7 3 10 4 11 5 10 Answer the following. Round your answers to the nearest thousandths. 6 7 (a) From these results, compute the experimental probability of getting a 1. 0 7 12 (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 theoretical probabilities to become 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 theoretical probabilities to become farther apart. 8 12 9 12 X
Transcribed Image Text: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 100 trials and got the following results. Outcome 0 Number of Trials 8 1 11 2 7 3 10 4 11 5 10 Answer the following. Round your answers to the nearest thousandths. 6 7 (a) From these results, compute the experimental probability of getting a 1. 0 7 12 (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 theoretical probabilities to become 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 theoretical probabilities to become farther apart. 8 12 9 12 X
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