Recognised as Dice notation
6d433
- 6d433
- 6 to 2598
- mean 1,302
- mode 1302
Rolling 6d433 gives a total between 6 and 2,598, with a mean of 1,302 and a standard deviation of 306.1764. There are 6,590,636,786,811,169 equally likely ordered outcomes, and the most likely total is 1,302 at 0.127%.
The roll
Notation6d433
Dice6
Faces per die433
Minimum total6all 6 dice showing 1
Maximum total2,598all 6 dice showing 433
Distinct totals2,593
Mean1,302n(f + 1)/2 + modifier, exact
Variance93,744n(f² − 1)/12, exact
Standard deviation306.17641973≈
Counting the outcomes
Ordered outcomes6,590,636,786,811,169433^6, every die distinguishable
Most likely total1,302
Chance of that total0.127021%≈
Ways to roll it8,371,498,893,337exact count
Chance of the minimum1.51730407 × 10^-14%≈1 in 6,590,636,786,811,169
Chance of the maximum1.51730407 × 10^-14%≈1 in 6,590,636,786,811,169
Shape of the distribution
2,593 distinct totals, too many to list individually.
1st percentile605≈1.005% of rolls are this or lower
5th percentile797≈5.018% of rolls are this or lower
25th percentile1,091≈25.06% of rolls are this or lower
50th percentile1,302≈50.064% of rolls are this or lower
75th percentile1,513≈75.043% of rolls are this or lower
95th percentile1,807≈95.017% of rolls are this or lower
99th percentile1,999≈99.005% of rolls are this or lower
Chance of rolling at least
26599.9933%≈
65498.4167%≈
1,30250.0635%≈
1,9501.5977%≈
2,3390.0069%≈
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