Dice notation

70d66

70d66
70 to 4620
mean 2,345
mode 2345

Rolling 70d66 gives a total between 70 and 4,620, with a mean of 2,345 and a standard deviation of 159.3868. There are 23,338,636,931,092,996,843,477,520,132,585,399,024,329,557,842,164,355,450,059,100,682,839,879,669,491,257,576,227,927,721,456,758,716,554,784,113,816,568,977,137,074,176 equally likely ordered outcomes, and the most likely total is 2,345 at 0.25%.

The roll

Notation70d66

Dice70

Faces per die66

Minimum total70all 70 dice showing 1

Maximum total4,620all 70 dice showing 66

Distinct totals4,551

Mean2,345n(f + 1)/2 + modifier, exact

Variance25,404.16666667n(f² − 1)/12, exact

Standard deviation159.38684596≈

Counting the outcomes

Ordered outcomes23,338,636,931,092,996,843,477,520,132,585,399,024,329,557,842,164,355,450,059,100,682,839,879,669,491,257,576,227,927,721,456,758,716,554,784,113,816,568,977,137,074,17666^70, every die distinguishable

Most likely total2,345

Chance of that total0.249761%≈

Ways to roll it58,290,798,046,710,059,871,264,345,673,080,815,714,510,072,098,046,623,659,873,190,293,024,525,958,466,093,102,563,699,269,591,348,218,276,711,060,924,228,320,181,016exact count

Chance of the minimum4.28474038 × 10^-126%≈1 in 23,338,636,931,092,996,843,477,520,132,585,399,024,329,557,842,164,355,450,059,100,682,839,879,669,491,257,576,227,927,721,456,758,716,554,784,113,816,568,977,137,074,176

Chance of the maximum4.28474038 × 10^-126%≈1 in 23,338,636,931,092,996,843,477,520,132,585,399,024,329,557,842,164,355,450,059,100,682,839,879,669,491,257,576,227,927,721,456,758,716,554,784,113,816,568,977,137,074,176

Shape of the distribution

4,551 distinct totals, too many to list individually.

1st percentile1,975≈1.011% of rolls are this or lower

5th percentile2,083≈5.047% of rolls are this or lower

25th percentile2,237≈25.04% of rolls are this or lower

50th percentile2,345≈50.125% of rolls are this or lower

75th percentile2,453≈75.159% of rolls are this or lower

95th percentile2,607≈95.018% of rolls are this or lower

99th percentile2,715≈99.006% of rolls are this or lower

Chance of rolling at least

525100%≈

1,208100%≈

2,34550.1249%≈

3,4835.78232275 × 10^-12%≈

4,1657.43381449 × 10^-38%≈

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