Dice notation

58d10

58d10
58 to 580
mean 319
mode 319

Rolling 58d10 gives a total between 58 and 580, with a mean of 319 and a standard deviation of 21.8746. There are 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 equally likely ordered outcomes, and the most likely total is 319 at 1.819%.

The roll

Notation58d10

Dice58

Faces per die10

Minimum total58all 58 dice showing 1

Maximum total580all 58 dice showing 10

Distinct totals523

Mean319n(f + 1)/2 + modifier, exact

Variance478.5n(f² − 1)/12, exact

Standard deviation21.87464285≈

Counting the outcomes

Ordered outcomes10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,00010^58, every die distinguishable

Most likely total319

Chance of that total1.818948%≈

Ways to roll it181,894,832,005,057,034,383,999,852,869,437,328,659,060,112,416,355,888,580exact count

Chance of the minimum1 × 10^-56%≈1 in 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Chance of the maximum1 × 10^-56%≈1 in 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Shape of the distribution

523 distinct totals, too many to list individually.

1st percentile268≈1.034% of rolls are this or lower

5th percentile283≈5.235% of rolls are this or lower

25th percentile304≈25.417% of rolls are this or lower

50th percentile319≈50.909% of rolls are this or lower

75th percentile334≈76.024% of rolls are this or lower

95th percentile355≈95.238% of rolls are this or lower

99th percentile370≈99.086% of rolls are this or lower

Chance of rolling at least

110100%≈

189100%≈

31950.9095%≈

4503.60548787 × 10^-8%≈

5288.21367238 × 10^-25%≈

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