6 Sided Dice Probability Calculator
Calculate probabilities for 6-sided dice rolls with comprehensive statistical analysis
Calculate Dice Probabilities
Choose between 1 and 10 dice
Probability Results
Scenario: Rolling at least one 1 with 1 dice
Fraction: 1/6
Decimal: 0.166667
Odds: 1 : 5.00
Basic Single Die Probabilities
Two Dice Sum Probabilities
Sum = 7 is the most likely outcome with two dice
Probability Tips
Each face of a fair die has 1/6 probability
Total outcomes = 6^(number of dice)
Sum of 7 is most likely with two dice
More dice = more complex probability calculations
Understanding 6-Sided Dice Probabilities
What is a 6-Sided Die?
A six-sided die is the standard cubic die with faces numbered 1 through 6. Each face has an equal probability of 1/6 (approximately 16.67%) when the die is fair. This is the foundation for all dice probability calculations.
Basic Probability Rules
- •Single die: P(any specific value) = 1/6
- •Multiple dice: outcomes multiply (6^n for n dice)
- •Independent events: probabilities multiply
- •Complementary events: P(A) + P(not A) = 1
Common Calculations
At Least One Success
P(at least one) = 1 - P(none)
Example: P(at least one 6 in 3 rolls) = 1 - (5/6)³ = 42.13%
Sum Probabilities
Uses combinations and dynamic programming
Example: P(sum = 7 with 2 dice) = 6/36 = 16.67%
All Same Value
P(all same) = 6 × (1/6)^n
Example: P(all 3s with 3 dice) = (1/6)³ = 0.46%
Probability Formula Reference
Basic Probability
P(event) = favorable outcomes / total outcomes
Complement Rule
P(not A) = 1 - P(A)
Independent Events
P(A and B) = P(A) × P(B)
Total Outcomes
6^n for n dice