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The products when throwing two dice which are most probable are 6 and 12 which both appear 4 times 6 = 1x6, 2x3, 3x2, 6x1 and 12 = 2x6, 3x4, 4x3, 6x2.

When the product of the numbers shown on the two dice is calculated, the possible results are:

x 01 02 03 04 05 06

1 01 02 03 04 05 06

2 02 04 06 08 10 12

3 03 06 09 12 15 18

4 04 08 12 16 20 24

5 05 10 15 20 25 30

6 06 12 18 24 30 36

which has 18 possible totals (numbers in parentheses gives number of times they appear):

01 (1), 02 (2), 03 (2), 04 (3), 05 (2), 06 (4)

08 (2), 09 (1), 10 (2), 12 (4), 15 (2), 16 (1)

18 (2), 20 (2), 24 (2), 25 (1), 30 (2), 36 (1)

(I've put zeros before single digit numbers to help the table of numbers line up.)

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Q: What is the most probable number to get when finding a product when tossing two dice?
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