What are the Chances of That?

rolling a total of 7 with 2 dice

The chances of sevens are:

For 100 pairs of dice, over 100 rolls, each with probability 6 in 36, on average there will be 1666.7 sevens.

Over 100 rolls, on average there will be 16.7 sevens for each of the pairs of dice.

Probability

0.166667

As a percentage

16.6667%

Representative example

For sevens

100 pairs of dice x 100 rolls = 10000 chances for sevens

Observed sevens: 1667 = 16.670% (expected average: 1666.7 = 16.667%)

For pairs of dice (columns)

Summary for pairs of dice: {'min': 8, 'max': 26, 'mean': 16.67, 'median': 16}

Counts: How many sevens for each of the pairs of dice? [Click to show]

[21, 13, 18, 17, 14, 18, 13, 16, 12, 19, 16, 18, 18, 15, 16, 26, 16, 18, 16, 17, 16, 18, 22, 16, 13, 16, 18, 20, 17, 13, 22, 14, 10, 13, 18, 18, 18, 15, 12, 15, 24, 15, 16, 19, 12, 12, 16, 20, 14, 16, 13, 14, 16, 13, 15, 18, 10, 13, 22, 16, 20, 15, 20, 15, 25, 16, 14, 24, 11, 21, 18, 16, 19, 8, 23, 15, 15, 16, 22, 17, 14, 17, 15, 18, 21, 16, 19, 19, 17, 18, 15, 15, 18, 23, 19, 16, 14, 18, 18, 12]

Distribution: How many pairs of dice for each different number of sevens? [Click to show]

1 with 8 sevens; 2 with 10 sevens; 1 with 11 sevens; 5 with 12 sevens; 8 with 13 sevens; 7 with 14 sevens; 12 with 15 sevens; 18 with 16 sevens; 6 with 17 sevens; 17 with 18 sevens; 6 with 19 sevens; 4 with 20 sevens; 3 with 21 sevens; 4 with 22 sevens; 2 with 23 sevens; 2 with 24 sevens; 1 with 25 sevens; 1 with 26 sevens;

For rolls (rows)

Summary for rolls: {'min': 8, 'max': 26, 'mean': 16.67, 'median': 17}

Counts: How many sevens for each of the rolls? [Click to show]

[14, 22, 14, 15, 19, 15, 19, 8, 14, 16, 12, 17, 18, 12, 17, 18, 18, 22, 17, 22, 21, 12, 22, 17, 17, 15, 17, 15, 15, 14, 17, 17, 12, 16, 15, 25, 17, 19, 14, 23, 22, 16, 12, 16, 17, 14, 13, 13, 22, 16, 21, 18, 26, 13, 20, 10, 19, 24, 11, 19, 19, 17, 18, 16, 15, 20, 18, 16, 10, 16, 13, 10, 17, 19, 15, 8, 20, 20, 18, 17, 12, 13, 12, 21, 20, 14, 17, 18, 20, 11, 19, 18, 16, 13, 15, 21, 17, 21, 17, 19]

Distribution: How many rolls for each different number of sevens? [Click to show]

2 with 8 sevens; 3 with 10 sevens; 2 with 11 sevens; 7 with 12 sevens; 6 with 13 sevens; 7 with 14 sevens; 9 with 15 sevens; 9 with 16 sevens; 16 with 17 sevens; 9 with 18 sevens; 9 with 19 sevens; 6 with 20 sevens; 5 with 21 sevens; 6 with 22 sevens; 1 with 23 sevens; 1 with 24 sevens; 1 with 25 sevens; 1 with 26 sevens;