Roll 3 D13 dice

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20 4 6 8 10 12 48 100

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3D13 Dice Roller

3D13 Dice Roller
Rolls 3 D13 dice
Lets you roll multiple dice like 2 D13s, or 3 D13s. Add, remove or set numbers of dice to roll
Combine with other types of dice (like D11 and D15) 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

Roll3D13
Total Kinds of Dice1
Total Dice3
Minimum Sum3
Maximum Sum39
Lowest Dice Face1
Highest Dice Face13
Highest Dice Face of the Smallest Die13
3D13
Total Possible Combinations 455

Number of combinations are calculated using the formula [ (13+3-1) choose (3) ]

You can try generating all the combinations using the following combination generator
All possible combinations of 3D13
3D13
Total Possible Permutations 2,197

Number of permutations are calculated using the formula [ 13^3 ]

You can try generating all the permutations using the following permutations generator
All possible permutations of 3D13

Probabilities of this Dice Roller

3D13

Probability of getting a 1

In technical terms this is equivalent of getting atleast one 1. This is close to 0.21, about 21.35% 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 - (12/13 x 12/13 x 12/13)

Probability of not getting a 1

Probability of not getting any 1 is close to 0.79, about 78.65% percent.

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

12/13 x 12/13 x 12/13

Probability of getting all 1's

Probability of getting all 1's is close to 0.00046, about 0.046% percent.

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

1/13 x 1/13 x 1/13

Probability of getting 3 1s

Probability of getting 3 1's is close to 0.00046, about 0.046% percent.

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

1/13 x 1/13 x 1/13

Probability of getting a 13

In technical terms this is equivalent of getting atleast one 13. This is close to 0.21, about 21.35% percent.

This is calculated by multiplying all the probabilities of not getting a 13 for each dice and then subtracting the answer from 1.

1 - (12/13 x 12/13 x 12/13)

Probability of not getting a 13

Probability of not getting any 13 is close to 0.79, about 78.65% percent.

This is calculated by multiplying all the probabilities of not getting a 13 for each dice.

12/13 x 12/13 x 12/13

Probability of getting all 13's

Probability of getting all 13's is close to 0.00046, about 0.046% percent.

This is calculated by multiplying together all the probabilities of getting a 13 for each dice.

1/13 x 1/13 x 1/13

Probability of getting 3 13s

Probability of getting 3 13's is close to 0.00046, about 0.046% percent.

This is calculated by multiplying together all the probabilities of getting a 13 for each dice that has a 13.

1/13 x 1/13 x 1/13

Probability of getting all highest faces

Probability of getting all the maximum faces (3 13's) is close to 0.00046, about 0.046% percent.

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

1/13 x 1/13 x 1/13

Probability of getting one of a kind

Probability of getting one of a kind is close to 0.0059, about 0.59% percent.

There are 13 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 or all 13'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, all 6's, all 7's, all 8's, all 9's, all 10's, all 11's, all 12's or all 13's. Since, probabilities of getting all 1's through all 13's are the same, we can multiply them all together. So, multiplying the probability of getting all 1's by 13 will give us the probability of getting all of any kind.

    
    13 x (1/13 x 1/13 x 1/13)

Javascript code to create this dice roller


    // code to create a 3D13 dice roller

    
                   
        // define the range of numbers to pick from
        var lowest = 1;             // lowest possible side of the dice
        var highest = 13;           // highest possible side of the dice
        var numbers_of_dice = 3;    // 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 

    

    */