Recognised as Dice notation

96d27

96d27
96 to 2592
mean 1,344
mode 1344

Rolling 96d27 gives a total between 96 and 2,592, with a mean of 1,344 and a standard deviation of 76.3151. There are 257,585,468,675,898,878,692,697,829,828,877,177,271,726,674,504,483,915,376,269,783,622,959,081,398,497,813,668,497,925,744,699,677,646,719,926,465,210,614,240,928,932,342,001,644,161 equally likely ordered outcomes, and the most likely total is 1,344 at 0.522%.

The roll

Notation96d27

Dice96

Faces per die27

Minimum total96all 96 dice showing 1

Maximum total2,592all 96 dice showing 27

Distinct totals2,497

Mean1,344n(f + 1)/2 + modifier, exact

Variance5,824n(f² − 1)/12, exact

Standard deviation76.31513611≈

Counting the outcomes

Ordered outcomes257,585,468,675,898,878,692,697,829,828,877,177,271,726,674,504,483,915,376,269,783,622,959,081,398,497,813,668,497,925,744,699,677,646,719,926,465,210,614,240,928,932,342,001,644,16127^96, every die distinguishable

Most likely total1,344

Chance of that total0.521937%≈

Ways to roll it1,344,433,178,445,516,392,295,070,102,379,250,271,732,035,175,721,933,268,312,973,697,128,020,548,168,960,117,406,547,959,694,613,860,510,566,786,603,897,357,967,462,668,352,486,377exact count

Chance of the minimum3.88220657 × 10^-136%≈1 in 257,585,468,675,898,878,692,697,829,828,877,177,271,726,674,504,483,915,376,269,783,622,959,081,398,497,813,668,497,925,744,699,677,646,719,926,465,210,614,240,928,932,342,001,644,161

Chance of the maximum3.88220657 × 10^-136%≈1 in 257,585,468,675,898,878,692,697,829,828,877,177,271,726,674,504,483,915,376,269,783,622,959,081,398,497,813,668,497,925,744,699,677,646,719,926,465,210,614,240,928,932,342,001,644,161

Shape of the distribution

2,497 distinct totals, too many to list individually.

1st percentile1,167≈1.029% of rolls are this or lower

5th percentile1,218≈5.006% of rolls are this or lower

25th percentile1,292≈25.017% of rolls are this or lower

50th percentile1,344≈50.261% of rolls are this or lower

75th percentile1,396≈75.397% of rolls are this or lower

95th percentile1,470≈95.128% of rolls are this or lower

99th percentile1,521≈99.007% of rolls are this or lower

Chance of rolling at least

346100%≈

720100%≈

1,34450.261%≈

1,9681.07972841 × 10^-15%≈

2,3421.00466916 × 10^-48%≈

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