Teresa rolled a number cube 1000 times and got the following results.
Outcome Rolled
1
2
3
4
5
6
Number of Rolls
182
157
167
159
172
163
Fill in the table below. Round your answers to the nearest thousandths.
(a) From Teresa's results, compute the experimental probability of rolling a 3 or 5.
(b) Assuming that the cube is fair, compute the theoretical probability of rolling a 3 or 5.
(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 experimental and theoretical probabilities.
With a large number of rolls, there must be no difference between the experimental and theoretical probabilities.