Probability calculation of dice rolls in Valeria: Card Kingdoms.

probabilityInValeriaCardKingdoms

// Copy-paste this into a JavaScript console to execute.
probabilities = (
  [
    [1],
    [2],
    [3],
    [4],
    [5],
    [6],
    [7],
    [8],
    [9, 10],
    [11, 12],
  ]
  .map((
    expectedNumbers,
  ) => (
    expectedNumbers
    .map((
      expectedNumber,
    ) => (
      Array(10000)
      .fill()
      .map(() => ({
        die1: Math.ceil(Math.random() * 6),
        die2: Math.ceil(Math.random() * 6),
      }))
      .map(({
        die1,
        die2,
      }) => ({
        additive: die1 + die2,
        die1,
        die2,
      }))
      .reduce(
        (
          count,
          {
            additive,
            die1,
            die2,
          },
        ) => (
          die1 === expectedNumber
          || die2 === expectedNumber
          || additive === expectedNumber
          ? count + 1
          : count
        ),
        0,  
      )
    ))
    .map((
      count
    ) => (
      count / 10000
    ))
    .reduce(
      (
        totalProbability,
        probability,
      ) => (
        totalProbability + probability
      ),
      0,
    )
  ))
  .map((
    probability,
  ) => (
    (probability * 100)
    .toFixed(2)
  ))
)

JSON
.stringify(
  probabilities,
  null,
  2,
)