Roll 10 D22 dice

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10D22 Dice Roller

10D22 Dice Roller
Rolls 10 D22 dice
Lets you roll multiple dice like 2 D22s, or 3 D22s. Add, remove or set numbers of dice to roll
Combine with other types of dice (like D20 and D24) to throw and make a custom dice roll

Statistics of this Dice Roller

Roll10D22
Total Kinds of Dice1
Total Dice10
Minimum Sum10
Maximum Sum220
Lowest Dice Face1
Highest Dice Face22
Highest Dice Face of the Smallest Die22
10D22
Total Possible Combinations 44,352,165

Number of combinations are calculated using the formula [ (22+10-1) choose (10) ]

You can try generating all the combinations using the following combination generator
All possible combinations of 10D22
10D22
Total Possible Permutations 26,559,922,791,424

Number of permutations are calculated using the formula [ 22^10 ]

You can try generating all the permutations using the following permutations generator
All possible permutations of 10D22

Probabilities of this Dice Roller

10D22

Probability of getting a 1

In technical terms this is equivalent of getting atleast one 1. This is close to 0.37, about 37.2% 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 - (21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22)

Probability of not getting a 1

Probability of not getting any 1 is close to 0.63, about 62.8% percent.

This is calculated by multiplying all the probabilities of not getting a 1 for each dice.

21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22

Probability of getting all 1's

Probability of getting all 1's is close to 0.000000000000038, about 0.0000000000038% percent.

This is calculated by multiplying together all the probabilities of getting a 1 for each dice.

1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22

Probability of getting 10 1s

Probability of getting 10 1's is close to 0.000000000000038, about 0.0000000000038% percent.

This is calculated by multiplying together all the probabilities of getting a 1 for each dice that has a 1.

1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22

Probability of getting a 22

In technical terms this is equivalent of getting atleast one 22. This is close to 0.37, about 37.2% percent.

This is calculated by multiplying all the probabilities of not getting a 22 for each dice and then subtracting the answer from 1.

1 - (21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22)

Probability of not getting a 22

Probability of not getting any 22 is close to 0.63, about 62.8% percent.

This is calculated by multiplying all the probabilities of not getting a 22 for each dice.

21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22 x 21/22

Probability of getting all 22's

Probability of getting all 22's is close to 0.000000000000038, about 0.0000000000038% percent.

This is calculated by multiplying together all the probabilities of getting a 22 for each dice.

1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22

Probability of getting 10 22s

Probability of getting 10 22's is close to 0.000000000000038, about 0.0000000000038% percent.

This is calculated by multiplying together all the probabilities of getting a 22 for each dice that has a 22.

1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22

Probability of getting all highest faces

Probability of getting all the maximum faces (10 22's) is close to 0.000000000000038, about 0.0000000000038% percent.

This is calculated by multiplying together all the probabilities of getting the maximum face for each dice.

1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22

Probability of getting one of a kind

Probability of getting one of a kind is close to 0.00000000000083, about 0.000000000083% percent.

There are 22 ways to get one of a kind (all 1's, all 2's, all 3's, all 4's, all 5's, all 6's, all 7's, all 8's, all 9's, all 10's, all 11's, all 12's, all 13's, all 14's, all 15's, all 16's, all 17's, all 18's, all 19's or all 20's and so on). 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, all 6's, all 7's, all 8's, all 9's, all 10's, all 11's, all 12's, all 13's, all 14's, all 15's, all 16's, all 17's, all 18's, all 19's or all 20's and so on. Since, probabilities of getting all 1's through all 22's are the same, we can multiply them all together. So, multiplying the probability of getting all 1's by 22 will give us the probability of getting all of any kind.

    
    22 x (1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22 x 1/22)

Javascript code to create this dice roller


    // code to create a 10D22 dice roller

    
                   
        // define the range of numbers to pick from
        var lowest = 1;             // lowest possible side of the dice
        var highest = 22;           // highest possible side of the dice
        var numbers_of_dice = 10;    // 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 

    

    */