Dice Probability Calculator

The dice probability calculator is a powerful tool that accurately estimates the probability of various dice rolls. It takes into account different types of dice, such as the commonly used regular cubic die and the more specialized 20-sided die. By inputting the desired number of dice and the specific type of die, the calculator provides a comprehensive analysis of the probabilities associated with each possible outcome. Whether you’re a tabletop gamer or a statistics enthusiast, this calculator is an invaluable resource for understanding the likelihood of different rolls in various scenarios.

Dice Probability Calculator

Enter the type of dice, the number of dice, and the desired criteria to calculate the probability:

Probability: -

What is Dice Probability?

At its core, dice probability delves into the intricate world of predicting outcomes based on a dice roll. This mathematical exploration is not limited to the toss of a single die. Whether you’re rolling a traditional six-sided die or experimenting with the vast realm of polyhedral dice, each toss offers a spectrum of potential results. By understanding the probability, you’re not merely gauging chance; you’re deciphering patterns, anticipating outcomes, and enhancing your strategy, whether for games or decision-making simulations. It’s a captivating intersection of mathematics and luck, where predictability meets the unexpected.

Polyhedral dice

The dice universe stretches far beyond the conventional six-faced cube that many are accustomed to. Dice marvels come in various shapes, each with its distinct number of faces and geometrical properties:

  • 4-sided – Tetrahedron: A three-dimensional figure where every face is an equilateral triangle.
  • 6-sided – Cube: The timeless classic where each face is a perfectly even square.
  • 8-sided – Octahedron: Boasting eight faces, each one is an equilateral triangle.
  • 10-sided – Pentagonal Trapezohedron: A unique shape where each of its ten faces is shaped like a kite.
  • 12-sided – Dodecahedron: Comprising twelve faces, each one is a regular pentagon.
  • 20-sided – Icosahedron: A standout in the dice family, each of its twenty faces is an equilateral triangle.

When To Use Dice Probability Calculator?

The calculator isn’t just a tool for the curious; it’s a strategic companion for a myriad of scenarios.

  • Casino Games: While games like Craps are based on dice outcomes, understanding the odds offers insights into potential wagers and risks.
  • Board Games: In classics like Monopoly, where rolling a specific number can land you on a much-desired property or steer you clear of an opponent’s hotel, understanding the odds can refine your game plan.
  • Tabletop Role-Playing Games (RPGs): Dungeons & Dragons, Pathfinder, and other RPGs frequently employ polyhedral dice to determine combat outcomes, character decisions, and more. Knowing the probability of a critical hit or a successful skill check can be game-changing!
  • Educational Settings: Teachers can use the calculator as a teaching aid to elucidate the concept of probability to students in an interactive manner.
  • Game Design: Aspiring game creators can employ the calculator to balance their dice-based games, ensuring that they’re neither too easy nor impossibly challenging.
  • Recreational Math: For those who simply enjoy the beauty of numbers and chance, using the calculator to explore various dice combinations can be a delightful exercise.

How To Use Dice Probability Calculator?

Here’s a step-by-step guide on harnessing the power of the calculator:

  1. Navigate to “Select Dice Type”: Begin by determining your dice type. 
  2. Input Number of Dice: Indicate the total number of dice you plan to roll. 
  3. Zero in on Your Target Result: Within the “Select Criteria” dropdown, choose the outcome you’re anticipating.
  4. Incorporate a Numerical Benchmark: Feed in a numerical value that serves as the reference point for your chosen outcome.
  5. Hit “Calculate Probability”: Engage the calculator with a click, and within seconds, you’ll be presented with a probability linked to your set criteria.


Consider a gaming scenario where you’re handed two classic six-sided dice. Your mission? Achieve a sum of 7. Pondering over the possible combinations—maybe a 3 paired with a 4, or a 6 accompanied by a 1—how do you discern the precise likelihood of this event? By inputting these dice specifications and the targeted sum into the calculator, it swiftly reveals a probability rate of 16.67%.


Why are dice probabilities important in gaming?

Dice probabilities not only enhance a player’s understanding of the game but also aid in forming strategic decisions. When you’re aware of the odds, you can make informed choices, whether you’re playing a classic board game or diving into an intricate tabletop RPG.

How accurate is the Dice Probability Calculator?

The calculator utilizes well-established mathematical formulas to derive probabilities. While the unpredictability of a physical dice roll remains, the tool offers a theoretical accuracy that’s hard to match, giving you the closest possible prediction.

Are there real-life applications for dice probability outside of gaming?

Indeed, it’s more than just a game. They serve as a foundational concept in probability theory, finding applications in various fields like economics, statistics.

Do I need to be a math expert to use the Dice Probability Calculator?

Not at all. While the underlying math might be complex, the calculator is designed for simplicity. Just Input your parameters, and it will provide the results.