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Latoya rolled a number cube 1000 times and got the following results. Outcome Rolled 1 2 3 4 5 6 Number of Rolls 157

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Latoya rolled a number cube 1000 times and got the following results. Outcome Rolled 1 2 3 4 5 6 Number of Rolls 157 165 179 144 172 183 Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the cube is fair, compute the theoretical probability of rolling a 4. (b) From Latoya's results, compute the experimental probability of rolling a 4. (c) Assuming that the cube is fair, choose the statement below that is true: With a large number of rolls, there might be a difference between the experimental and theoretical probabilities, but the difference should be small. With a large number of rolls, there must be a large difference between the experimenta and theoretical probabilities. With a large number of rolls, there must be no difference between the experimental and theoretical probabilities.

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