Probability of getting atleast one 1 is close to 0.16, about 16.12% 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 - (45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46)
Probability of not getting any 1 is close to 0.84, about 83.88% percent.
This is calculated by multiplying all the probabilities of not getting a 1 for each dice.
45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46
Probability of getting all 1's is close to 0.00000000000005, about 0.000000000005% percent.
This is calculated by multiplying together all the probabilities of getting a 1 for each dice.
1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46
Probability of getting 8 1's is close to 0.00000000000005, about 0.000000000005% percent.
This is calculated by multiplying together all the probabilities of getting a 1 for each dice that has a 1.
1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46
Probability of getting atleast one 46 is close to 0.16, about 16.12% percent.
This is calculated by multiplying all the probabilities of not getting a 46 for each dice and then subtracting the answer from 1.
1 - (45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46)
Probability of not getting any 46 is close to 0.84, about 83.88% percent.
This is calculated by multiplying all the probabilities of not getting a 46 for each dice.
45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46 x 45/46
Probability of getting all 46's is close to 0.00000000000005, about 0.000000000005% percent.
This is calculated by multiplying together all the probabilities of getting a 46 for each dice.
1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46
Probability of getting 8 46's is close to 0.00000000000005, about 0.000000000005% percent.
This is calculated by multiplying together all the probabilities of getting a 46 for each dice that has a 46.
1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46
Probability of getting all the maximum faces (8 46's) is close to 0.00000000000005, about 0.000000000005% percent.
This is calculated by multiplying together all the probabilities of getting the maximum face for each dice.
1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46
Probability of getting one of a kind is close to 0.0000000000023, about 0.00000000023% percent.
There are 46 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 46's are the same, we can multiply them all together. So, multiplying the probability of getting all 1's by 46 will give us the probability of getting all of any kind.
46 x (1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46 x 1/46)
// define the range of numbers to pick from var lowest = 1; // lowest possible side of the dice var highest = 46; // highest possible side of the dice var numbers_of_dice = 8; // 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 */