Dice notation
4d349
- 4d349
- 4 to 1396
- mean 700
- mode 700
Rolling 4d349 gives a total between 4 and 1,396, with a mean of 700 and a standard deviation of 201.4944. There are 14,835,483,601 equally likely ordered outcomes, and the most likely total is 700 at 0.191%.
The roll
Notation4d349
Dice4
Faces per die349
Minimum total4all 4 dice showing 1
Maximum total1,396all 4 dice showing 349
Distinct totals1,393
Mean700n(f + 1)/2 + modifier, exact
Variance40,600n(f² − 1)/12, exact
Standard deviation201.4944168≈
Counting the outcomes
Ordered outcomes14,835,483,601349^4, every die distinguishable
Most likely total700
Chance of that total0.191023%≈
Ways to roll it28,339,149exact count
Chance of the minimum6.7405959 × 10^-9%≈1 in 14,835,483,601
Chance of the maximum6.7405959 × 10^-9%≈1 in 14,835,483,601
Shape of the distribution
1,393 distinct totals, too many to list individually.
1st percentile246≈1.004% of rolls are this or lower
5th percentile367≈5.012% of rolls are this or lower
25th percentile559≈25.008% of rolls are this or lower
50th percentile700≈50.096% of rolls are this or lower
75th percentile841≈75.146% of rolls are this or lower
95th percentile1,033≈95.042% of rolls are this or lower
99th percentile1,154≈99.013% of rolls are this or lower
Chance of rolling at least
14399.8906%≈
35295.8095%≈
70050.0955%≈
1,0484.2387%≈
1,2570.1126%≈
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