Palamedes invented dice, which inspired the formal development of probability theory by Cardano, Pascal and Fermat. Back in the 4th century BC, the philosopher Gorgias wrote the Defense of Palamedes, the archetype of the modern legal argument, which uses an informal version of probability theory and Bayesian belief networks. Therefore, this software, which combines a dice roller, probability calculator and Bayesian belief network inference engine, is dedicated to Palamedes.
Here are a few examples (which you can click on) to get you started:
- Roll three dice: 3#d6
- Roll three dice and sum: 3d6
- Compute a probability: probability(3d6>=11)
- Same but shorter: p(3d6≥11)
- All probabilities at once: p(3d6)
- Now in a table: table(p(3d6))
- As rational numbers though: table(rational(p(3d6)))
- As % with pipe-forward: 3d6 |> p |> percent |> table
- As barchart: 3d6 |> p |> barchart
- Statistics for this roll: table(stats(3d6))
- Probabilities for the minimum of 2 dice: prob(min(2#d6))
- Probabilities for the middle of three d20s: orderstat(d20, 3, 2)
- SIWCDCh & starting gold: (6 # 3d6) ⊎ [10 * 3d6]
- JSON object: {"str": 3d6, "int": 3d6, "wis": 3d6, "con": 3d6, "dex": 3d6, "cha": 3d6, "gold": 10*3d6}
- As a calculator: 2+2; 0=1; 5! ; 2^10
- Solve a 2x2 system: [[3,2],[-2,-1]]^-1 × [[3],[-1]]
- An attack roll button: button("d20", "text(d20)")
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