Dice notation
92d67
- 92d67
- 92 to 6164
- mean 3,128
- mode 3128
Rolling 92d67 gives a total between 92 and 6,164, with a mean of 3,128 and a standard deviation of 185.4939. There are 997,428,672,509,655,269,668,914,162,942,361,982,880,041,272,562,556,700,107,024,951,525,368,572,058,936,652,939,136,334,318,118,940,198,884,031,620,296,657,558,145,555,491,073,668,470,170,172,179,877,077,764,113,033,926,961 equally likely ordered outcomes, and the most likely total is 3,128 at 0.215%.
The roll
Notation92d67
Dice92
Faces per die67
Minimum total92all 92 dice showing 1
Maximum total6,164all 92 dice showing 67
Distinct totals6,073
Mean3,128n(f + 1)/2 + modifier, exact
Variance34,408n(f² − 1)/12, exact
Standard deviation185.49393521≈
Counting the outcomes
Ordered outcomes997,428,672,509,655,269,668,914,162,942,361,982,880,041,272,562,556,700,107,024,951,525,368,572,058,936,652,939,136,334,318,118,940,198,884,031,620,296,657,558,145,555,491,073,668,470,170,172,179,877,077,764,113,033,926,96167^92, every die distinguishable
Most likely total3,128
Chance of that total0.214719%≈
Ways to roll it2,141,670,359,449,932,083,054,881,783,359,435,404,369,700,133,743,074,274,814,634,735,183,215,668,201,353,800,855,455,491,747,937,637,792,516,752,770,192,920,076,609,467,542,543,210,131,881,969,111,235,461,037,161,200,797exact count
Chance of the minimum1.00257796 × 10^-166%≈1 in 997,428,672,509,655,269,668,914,162,942,361,982,880,041,272,562,556,700,107,024,951,525,368,572,058,936,652,939,136,334,318,118,940,198,884,031,620,296,657,558,145,555,491,073,668,470,170,172,179,877,077,764,113,033,926,961
Chance of the maximum1.00257796 × 10^-166%≈1 in 997,428,672,509,655,269,668,914,162,942,361,982,880,041,272,562,556,700,107,024,951,525,368,572,058,936,652,939,136,334,318,118,940,198,884,031,620,296,657,558,145,555,491,073,668,470,170,172,179,877,077,764,113,033,926,961
Shape of the distribution
6,073 distinct totals, too many to list individually.
1st percentile2,697≈1.007% of rolls are this or lower
5th percentile2,823≈5.037% of rolls are this or lower
25th percentile3,003≈25.135% of rolls are this or lower
50th percentile3,128≈50.107% of rolls are this or lower
75th percentile3,253≈75.036% of rolls are this or lower
95th percentile3,433≈95.019% of rolls are this or lower
99th percentile3,559≈99.008% of rolls are this or lower
Chance of rolling at least
699100%≈
1,610100%≈
3,12850.1074%≈
4,6468.53236258 × 10^-16%≈
5,5577.482308 × 10^-50%≈
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page