Make a table showing the probability distribution for the possible sums when tossing two four-sided dice (the sides are numbered 1-4 on each die). (give the probabilities as decimals rounded to four decimal places.)

We would have the following sample space:

(1, 1), (1, 2), (1, 3), (1, 4)

(2, 1), (2, 2), (2, 3), (2, 4)

(3, 1), (3, 2), (3, 3), (3, 4)

(4, 1), (4, 2), (4, 3), (4, 4)

Those give us these sums:

2, 3, 4, 5

3, 4, 5, 6

4, 5, 6, 7

5, 6, 7, 8

P (sum of 2) = 1/16 = 0.0625

P (sum of 3) = 2/16 = 0.125

P (sum of 4) = 3/16 = 0.1875

P (sum of 5) = 4/16 = 0.25

P (sum of 6) = 3/16 = 0.1875

P (sum of 7) = 2/16 = 0.125

P (sum of 8) = 1/16 = 0.0625