Construct an experimental, discrete probability table by rolling three six-sided dice and calculating the total. Perform 200 trials and record the results.

Once all three lists are generated, add them to create the totals of the 200 trials.

• Form a discrete random variable relative frequency histogram for this data. Clearly label the axes and scale.
• Calculate the mean and standard deviation for the roll totals:

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Use these to define a normal probability distribution for the total on the roll of 3 dice.

• Compare the probabilities of the experimental discrete probability distribution and the normal curve distribution for several cases listed on the table. Complete the table.

Probability Relative Frequency Histogram Normal Curve

P(9.5x10.5)

P(9.5x10.5)P(x3)

P(x3)P(x15)

P(x15)P(8x10)

P(8x10)

There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are:

Roll Probability

3 1/216

4 3/216

5 5/216

6 10/216

7 15/216

8 21/216

9 25/216

10 27/216

11 27/216

12 25/216

13 21/216

14 15/216

15 10/216

16 5/216

17 3/216

18 1/216

Calculate the theoretical probabilities of the indicated rolls and include them on the table below.

Probability Relative Frequency Histogram Normal Curve Theoretical Probability

P(9.5x10.5)

P(x3)

P(x15)

P(8x10)