📖 Overview
Use this calculator to find the probability of hitting a target total in one or many dice throws.
⚙️ How It Works
Calculates the exact probability of rolling a specific total with N dice of S sides, then estimates the chance of seeing it at least once across repeated throws.
The Formula
P(exact total) from dice distribution | P(at least once in t throws) = 1 - (1 - p)^t
| N | Number of dice per throw |
| S | Sides per die |
| Target | Desired total sum |
| t | Number of throws |
💡Totals near the center of the range are much more likely than edge totals because more combinations produce them.
Quick Reference
| Dice | Target total | Single throw chance |
|---|---|---|
| 2d6 | 7 | 16.67% |
| 2d6 | 2 or 12 | 2.78% |
| 3d6 | 10 or 11 | 12.50% |
| 3d6 | 3 or 18 | 0.46% |
Practical Tips
💡 Use this to compare risk for exact-total mechanics and combo triggers.
💡 More throws can make low single-throw odds reasonable over a full game.
Frequently Asked Questions
❓ Why are edge totals rare?
Only very few face combinations produce minimum and maximum sums.
❓ Does this assume fair dice?
Yes, each face is assumed equally likely and independent.