1) Use your knowledge of dice to generate a theoretical probability distribution of the possible sums obtained when rolling two dice. The first two rows have been completed for you.

Sum of dice (X) # of ways of obtaining sum Relative Frequency of (X) = 2 1 way (1+1) 1/36 3 2 ways (1+2, 2+1) 2/36 4 5 6 7 8 9 10 11 12

2) Use the theoretical data to calculate the mean, variance, and standard deviation of the theoretical probability distribution.

3) Find the theoretical probability of rolling a sum less than 3.

4) Find the theoretical probability of rolling a sum between (and including) 4 and 7.