# Meta: dT Odds

From Tesseris Wiki

Calculating the odds of a rolling a given value on a dT is a rather complicated bit of math, due largely to the exploding nature of the die. Factoring in re-rolls and multiple dice as part of a single roll makes things even more complicated mathematically, frankly beyond the creator's (my) ability to express as a formula. Instead, this page offers the odds of rolling a statistically significant number of dT to approximate the odds with a relative degree of certainty.

## Simulation of 1 Billion Rolls of 1dT

#### Rolled 1,000,000,000 times.

Number of successes, including explosions: 625013361

Total number of explosions: 250015975

Biggest success: 13

- Odds of getting at least 1 successes: 49.9998954 %
- Odds of getting at least 2 successes: 10.0018259 %
- Odds of getting at least 3 successes: 1.9997550999999998 %
- Odds of getting at least 4 successes: 0.3997764 %
- Odds of getting at least 5 successes: 0.0801154 %
- Odds of getting at least 6 successes: 0.015989800000000002 %
- Odds of getting at least 7 successes: 0.0031872000000000003 %
- Odds of getting at least 8 successes: 0.0006308 %
- Odds of getting at least 9 successes: 0.0001272 %
- Odds of getting at least 10 successes: 2.52e-05 %
- Odds of > 10 successes: 6.2e-06 %

Results generated using the dtcalc.py script; source available here: https://github.com/cypher0n3/dT-simulator