Random Dice Roller 🎲
Roll up to 15 dice at once with customizable die types and calculate probabilities
Configure Your Dice
Individual Dice Configuration
Probability Statistics
Common Die Types
Dice Rolling Tips
You can roll up to 15 dice at once for complex scenarios
Each roll shows individual results and probability statistics
Mix different die types for unique probability distributions
Roll history keeps track of your last 10 rolls
Custom dice can have 2-1000 sides for special applications
Understanding Dice Probability
How Dice Probability Works
When rolling dice, each outcome has a specific probability based on the number of ways it can occur divided by the total number of possible outcomes. For a single die, each face has an equal probability of 1/n where n is the number of sides.
Multiple Dice Calculations
- •Each die roll is independent of others
- •Total outcomes = product of individual die sides
- •Middle sums are more probable than extremes
- •Expected value = sum of individual die expectations
Probability Formula
P(sum = k) = Number of ways to get k / Total outcomes
Expected Value = Σ(sides + 1) / 2
Example: Two 6-sided Dice
- Total outcomes: 6 × 6 = 36
- Sum of 7: 6 ways (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
- Probability of 7: 6/36 = 16.67%
- Expected value: (6+1)/2 + (6+1)/2 = 7
Note: This calculator handles complex configurations with different die types automatically!
Applications of Dice Rolling
🎮 Gaming
- • Board games and tabletop RPGs
- • Dungeons & Dragons character stats
- • Probability-based game mechanics
- • Random event generation
📊 Statistics Education
- • Teaching probability concepts
- • Demonstrating random distributions
- • Central limit theorem examples
- • Experimental vs theoretical probability
🔬 Research
- • Monte Carlo simulations
- • Random sampling methods
- • Decision-making processes
- • Risk assessment models