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2 Dice Roller Calculator

Created by Davide Borchia
Reviewed by Komal Rafay
Last updated: Jan 18, 2024


Use our 2 dice roller calculator for your games, to make decisions (simple ones!), or for examples of statistics. Keep reading this short article to learn:

  • When do we use a two dice roller;
  • The statistic of a 2 dice roller; and
  • Other dice-related tools.

The statistics of a two dice roller

A two dice roller is an excellent example of statistics and events, slightly more complex than what you can obtain from rolling a single dice but still well within our immediate comprehension. Before discussing a 2-dice roller, we need to identify specific elements that will allow us to use the proper language when dealing with this problem.

  • Rolling a die is a statistical event with six possible outcomes: {1,2,3,4,5,6}\{1,2,3,4,5,6\}.
  • Each outcome has probability 1/61/6 of happening. We say that those outcomes are uniformly distributed.

What if we roll two dice? A double dice roller still corresponds to a statistical event, but the possible outcomes grew from six to 3636: {11,12,13,14,15,...,56,66}\{11,12,13,14,15,...,56,66\}

Is the probability distribution still uniform? Yes, but only if you consider the individual pairs of outcomes. Each of them appears with probability 1/361/36. The sum, on the other hand, follows another distribution that privileges the number 77 (if you play Catan, you already know this): you meet each possible outcome with:

  • Probability 1/361/36: for (1+1)=2(1+1) = 2 and (6+6)=12(6+6)=12.
  • Probability 1/181/18: for 33 and 1111.
  • Probability 1/121/12: for 44 and 1010.
  • Probability 1/91/9: for 55 and 99.
  • Probability 5/365/36: for 66 and 88.
  • Probability 1/61/6: for 77 only.

Does rolling one die after the other has a different outcome than launching them together? No: the interactions between the two dice is not accountable for changes in the statistics of the outcome. Only the presence of a loaded die can skew the distribution toward one specific value.

How to use our 2 dice roller calculator

Our double dice roller is straightforward to use. Simply click "select", then "roll" in the menu at the bottom of the tool. If you want to refresh the event, click again on "roll".

We fixed the settings to two six-faced dice: however, you can change them to fit all your needs: increase or decrease the number of dice or change the number of faces (either of all dice or one by one). Our 2 dice roller is more flexible than you expect!

Other dice calculators

If our 2 dice roller calculator was helpful, you will also probably enjoy our other dice tools:

FAQ

What is the probability of getting a 7 in a two dice roll?

1/6. There are six possible ways to score a 7 in a two dice roll: to calculate a 2 dice roll probability to get this outcome, follow these easy steps:

  1. Count all the possible outcomes of a 2 dice roll: there are 36 of them.
  2. Count the outcomes that sum up to 7: we identify (1,6), (2,5), (3,4), and the opposites (4,3), (5,2), and (6,1), for a total of 6.
  3. Divide the outcomes that result in 7 by the total number to find the probability of that outcome: P(7) = 6/36 = 1/6

How do I calculate the probability of a 2 dice roll?

To calculate the probability of any outcome in a 2 dice roll, follow these few simple steps:

  1. Count all the possible outcomes, assuming you can identify the dice. There are 36 such combinations.
  2. Each combination has a probability 1/36 of happening.
  3. Multiply this probability by the number of times the sum of the values in a combination equals a given amount.

How many possible outcomes of a 2 dice roll are there?

There are 36 possible outcomes of a 2 dice roll, assuming you can identify the dice. Each of these outcomes has the same probability of happening. The sum of the outcomes, however, consists of only 11 values, with 2 and 12 the least likely (1/36 of probability each), and 7 the most likely (six times as much as 2 and 12: P(7) = 1/7).

Davide Borchia
Number of dice
Two
Set all dice types to
6-sided
Die 1
6-sided
Die 2
6-sided
Let 'em roll!
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