2 Dice Roller Calculator

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.

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: $\{1,2,3,4,5,6\}$.
• Each outcome has probability $1/6$ 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 $36$: $\{11,12,13,14,15,...,56,66\}$

Is the probability distribution still uniform? Yes, but only if you consider the individual pairs of outcomes. Each of them appears with probability $1/36$. The sum, on the other hand, follows another distribution that privileges the number $7$ (if you play Catan, you already know this): you meet each possible outcome with:

• Probability $1/36$: for $(1+1) = 2$ and $(6+6)=12$.
• Probability $1/18$: for $3$ and $11$.
• Probability $1/12$: for $4$ and $10$.
• Probability $1/9$: for $5$ and $9$.
• Probability $5/36$: for $6$ and $8$.
• Probability $1/6$: for $7$ 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.

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!

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

• The dice roller calculator;
• The d20 dice roller;
• The 6 sided dice roller;
• The d100 dice roller calculator;
• The custom dice roller;
• The 4 sided dice roller;
• The 10 sided dice roller calculator;
• The random dice roller; and
• The DnD dice roller.

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

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.

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).