Dice Roll Probability
Calculator
Results
- Exact probability (%)
- 5
- Probability of reaching the target
- 30
- Probability of at least one success
- 65.7
- Expected successes
- 0.899999
Gaming results
| Exact probability (%) | 5 |
| Probability of reaching the target | 30 |
| Probability of at least one success | 65.7 |
| Expected successes | 0.899999 |
formula-map diagram
- Exact probability (%)
- 5
- Probability of reaching the target
- 30
- Probability of at least one success
- 65.7
- Expected successes
- 0.899999
Game math relationship
Formula
P(X ≥ t) = (s − t + 1) ÷ s ; P(at least once) = 1 − (1 − p)^n= 5
Note
This is a simplified model: it applies the standard probability or game-math formula to the numbers you entered. Real games add pity systems, drop-rate tiers, rounding, server-side variance and balance patches, so treat the result as an estimate rather than a guarantee.
More in Gaming and probability
See all →Frequently asked questions
How do I calculate the probability of rolling a specific number on a die?+
For a fair die with n sides, the probability of any single specific outcome is 1/n; for a standard six-sided die, that's 1/6, or about 16.7%, for each face.
How does the probability change when rolling multiple dice?+
For independent dice, the probability of a specific combination is the product of each individual probability, but the probability of a specific sum (like 7 on two dice) requires counting all the combinations that produce that sum, since sums near the middle of the range have more ways to occur.
Why is rolling a 7 more likely than rolling a 2 with two six-sided dice?+
There are six combinations that sum to 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) but only one combination that sums to 2 (1+1), so 7 has six times the probability even though both are valid two-dice sums.
What's the difference between "exactly this number" and "at least this number"?+
"Exactly" probability counts only outcomes matching that precise value, while "at least" sums the probabilities of that value and everything above it; confusing the two is a common source of error when reasoning about dice odds.
Does a die's history affect the next roll's probability?+
No — each roll of a fair die is statistically independent, so rolling several sixes in a row doesn't change the 1/6 probability of the next roll being a six; this misconception is known as the gambler's fallacy.