Recognised as Dice notation

7d425

7d425
7 to 2975
mean 1,491
mode 1491

Rolling 7d425 gives a total between 7 and 2,975, with a mean of 1,491 and a standard deviation of 324.5982. There are 2,504,508,502,197,265,625 equally likely ordered outcomes, and the most likely total is 1,491 at 0.12%.

The roll

Notation7d425

Dice7

Faces per die425

Minimum total7all 7 dice showing 1

Maximum total2,975all 7 dice showing 425

Distinct totals2,969

Mean1,491n(f + 1)/2 + modifier, exact

Variance105,364n(f² − 1)/12, exact

Standard deviation324.59821318≈

Counting the outcomes

Ordered outcomes2,504,508,502,197,265,625425^7, every die distinguishable

Most likely total1,491

Chance of that total0.120241%≈

Ways to roll it3,011,454,027,957,775exact count

Chance of the minimum3.99279938 × 10^-17%≈1 in 2,504,508,502,197,265,625

Chance of the maximum3.99279938 × 10^-17%≈1 in 2,504,508,502,197,265,625

Shape of the distribution

2,969 distinct totals, too many to list individually.

1st percentile750≈1.008% of rolls are this or lower

5th percentile956≈5.021% of rolls are this or lower

25th percentile1,268≈25.054% of rolls are this or lower

50th percentile1,491≈50.06% of rolls are this or lower

75th percentile1,714≈75.043% of rolls are this or lower

95th percentile2,026≈95.012% of rolls are this or lower

99th percentile2,232≈99.001% of rolls are this or lower

Chance of rolling at least

30499.9983%≈

74999.01%≈

1,49150.0601%≈

2,2330.9991%≈

2,6780.0018%≈

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