Recognised as Dice notation
71d52
- 71d52
- 71 to 3692
- mean 1,881.5
Rolling 71d52 gives a total between 71 and 3,692, with a mean of 1,881.5 and a standard deviation of 126.4624. There are 68,586,303,680,561,801,265,705,673,455,151,083,637,083,810,596,124,672,802,343,392,831,122,411,678,602,584,797,603,522,369,737,376,732,582,751,728,619,170,562,048 equally likely ordered outcomes, and the most likely total is 1,881 or 1,882 at 0.315%.
The roll
Notation71d52
Dice71
Faces per die52
Minimum total71all 71 dice showing 1
Maximum total3,692all 71 dice showing 52
Distinct totals3,622
Mean1,881.5n(f + 1)/2 + modifier, exact
Variance15,992.75n(f² − 1)/12, exact
Standard deviation126.46244502≈
Counting the outcomes
Ordered outcomes68,586,303,680,561,801,265,705,673,455,151,083,637,083,810,596,124,672,802,343,392,831,122,411,678,602,584,797,603,522,369,737,376,732,582,751,728,619,170,562,04852^71, every die distinguishable
Most likely total1,881 and 1,882two totals share the peak
Chance of that total0.314793%≈
Ways to roll it215,904,831,428,463,777,173,869,738,554,719,279,982,215,275,881,762,597,334,944,778,274,302,284,619,200,413,622,971,080,926,733,844,074,477,167,073,363,930,864exact count
Chance of the minimum1.45801705 × 10^-120%≈1 in 68,586,303,680,561,801,265,705,673,455,151,083,637,083,810,596,124,672,802,343,392,831,122,411,678,602,584,797,603,522,369,737,376,732,582,751,728,619,170,562,048
Chance of the maximum1.45801705 × 10^-120%≈1 in 68,586,303,680,561,801,265,705,673,455,151,083,637,083,810,596,124,672,802,343,392,831,122,411,678,602,584,797,603,522,369,737,376,732,582,751,728,619,170,562,048
Shape of the distribution
3,622 distinct totals, too many to list individually.
1st percentile1,588≈1.015% of rolls are this or lower
5th percentile1,673≈5.005% of rolls are this or lower
25th percentile1,796≈25.113% of rolls are this or lower
50th percentile1,881≈50% of rolls are this or lower
75th percentile1,967≈75.138% of rolls are this or lower
95th percentile2,090≈95.077% of rolls are this or lower
99th percentile2,175≈99.007% of rolls are this or lower
Chance of rolling at least
433100%≈
976100%≈
1,88250%≈
2,7875.06083175 × 10^-12%≈
3,3306.07265474 × 10^-38%≈
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