Roll 21 dice
21 Dice Roller
- Rolls 21 dice.
- Lets you roll multiple dice like 2 D6s, or 3 D6s. Add, remove or set numbers of dice to roll.
- Combine with other types of dice (like D4 and D8) to throw and make a custom dice roll.
- Roll the dice multiple times. You can choose to see only the last roll of dice.
- Display sum/total of the dice thrown. You can choose to see totals only.
Statistics of this Dice Roller
- Total Kinds of Dice1
- Total Dice21
- Minimum Sum21
- Maximum Sum126
- Lowest Dice Face1
- Highest Dice Face6
- Highest Dice Face of the Smallest Die6
- Total Possible Combinations
65,780
Number of combinations are calculated using the formula [ (6+21-1) choose (21) ]
You can try generating all the combinations using the following combination generator
All possible combinations of 21D6 - Total Possible Permutations
21,936,950,640,377,856
Number of permutations are calculated using the formula [ 6^21 ]
You can try generating all the permutations using the following permutations generator
All possible permutations of 21D6
Probabilities of this Dice Roller
Probability of getting atleast one 1 is close to 0.98, about 97.83% percent.
This is calculated by multiplying all the probabilities of not getting a 1 for each dice and then subtracting the answer from 1.
1 - (5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6)
Probability of not getting any 1 is close to 0.022, about 2.17% percent.
This is calculated by multiplying all the probabilities of not getting a 1 for each dice.
5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6
Probability of getting all 1's is close to 0.000000000000000046, about 0.0000000000000046% percent.
This is calculated by multiplying together all the probabilities of getting a 1 for each dice.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
Probability of getting 21 1's is close to 0.000000000000000046, about 0.0000000000000046% percent.
This is calculated by multiplying together all the probabilities of getting a 1 for each dice that has a 1.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
Probability of getting atleast one 6 is close to 0.98, about 97.83% percent.
This is calculated by multiplying all the probabilities of not getting a 6 for each dice and then subtracting the answer from 1.
1 - (5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6)
Probability of not getting any 6 is close to 0.022, about 2.17% percent.
This is calculated by multiplying all the probabilities of not getting a 6 for each dice.
5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6
Probability of getting all 6's is close to 0.000000000000000046, about 0.0000000000000046% percent.
This is calculated by multiplying together all the probabilities of getting a 6 for each dice.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
Probability of getting 21 6's is close to 0.000000000000000046, about 0.0000000000000046% percent.
This is calculated by multiplying together all the probabilities of getting a 6 for each dice that has a 6.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
Probability of getting all the maximum faces (21 6's) is close to 0.000000000000000046, about 0.0000000000000046% percent.
This is calculated by multiplying together all the probabilities of getting the maximum face for each dice.
1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6
Probability of getting one of a kind is close to 0.00000000000000027, about 0.000000000000027% percent.
There are 6 ways to get one of a kind (all 1's, all 2's, all 3's, all 4's, all 5's or all 6's). The probability of getting all of any kind is then caclulated by adding the probability of getting all 1's, all 2's, all 3's, all 4's, all 5's or all 6's. Since, probabilities of getting all 1's through all 6's are the same, we can multiply them all together. So, multiplying the probability of getting all 1's by 6 will give us the probability of getting all of any kind.
6 x (1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6)
Javascript code to create this dice roller
// define the range of numbers to pick from
var lowest = 1; // lowest possible side of the dice
var highest = 6; // highest possible side of the dice
var numbers_of_dice = 21; // how many dice to roll
var this_roll = []; // array to store the results of this roll
for (var j = 1; j <= numbers_of_dice; j++) {
// loop for the number of dice
// for each dice, generate a number between lowest and highest
var dice_face = Math.floor(Math.random() * (highest-lowest+1) + lowest);
this_roll.push(dice_face); //store this in the array
}
// print all the generated rolls
for (j = 0; j < this_roll.length; j++) {
// loop through the dice array
//print each dice roll value followed by a space
document.write(this_roll[j]);
document.write(" ");
}
/*
Sample output
*/
Dice Roll App with Start/Stop
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