Roll 3 dice

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3 Dice Roller

3D6 Dice Roller
Rolls 3 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

Roll3D6
Total Kinds of Dice1
Total Dice3
Minimum Sum3
Maximum Sum18
Lowest Dice Face1
Highest Dice Face6
Highest Dice Face of the Smallest Die6
3D6
Total Possible Combinations 56

Number of combinations are calculated using the formula [ (6+3-1) choose (3) ]

You can try generating all the combinations using the following combination generator
All possible combinations of 3D6
3D6
Total Possible Permutations 216

Number of permutations are calculated using the formula [ 6^3 ]

You can try generating all the permutations using the following permutations generator
All possible permutations of 3D6

Probabilities of this Dice Roller

3D6

Probability of getting a 1

In technical terms this is equivalent of getting atleast one 1. This is close to 0.42, about 42.13% 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)

Probability of not getting a 1

Probability of not getting any 1 is close to 0.58, about 57.87% 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

Probability of getting all 1's

Probability of getting all 1's is close to 0.0046, about 0.46% 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

Probability of getting 3 1s

Probability of getting 3 1's is close to 0.0046, about 0.46% 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

Probability of getting a 6

In technical terms this is equivalent of getting atleast one 6. This is close to 0.42, about 42.13% 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)

Probability of not getting a 6

Probability of not getting any 6 is close to 0.58, about 57.87% 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

Probability of getting all 6's

Probability of getting all 6's is close to 0.0046, about 0.46% 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

Probability of getting 3 6s

Probability of getting 3 6's is close to 0.0046, about 0.46% 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

Probability of getting all highest faces

Probability of getting all the maximum faces (3 6's) is close to 0.0046, about 0.46% 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

Probability of getting one of a kind

Probability of getting one of a kind is close to 0.028, about 2.78% 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)

Javascript code to create this dice roller


    // code to create a 3D6 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 = 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 

    

    */