Leila rolled a number cube1000

times and got the following results.

Outcome Rolled1

2

3

4

5

6

Number of Rolls175

176

160

158

140

191

Fill in the table below. Round your answers to the nearest thousandth.

(a)From Leila's results, compute theexperimental probabilityof rolling a5

or6

.

(b)Assuming that the cube is fair, compute thetheoretical probabilityof rolling a5

or6

.

(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 besmall.

With a large number of rolls, there must benodifference between the experimental and theoretical probabilities.

With a large number of rolls, there must be alargedifference between the experimental and theoretical probabilities.