freecodecamp--freecodecamp/curriculum/challenges/english/blocks/daily-coding-challenges-javascript/6a2037a68a0bc2aef0006004.md

id, title, challengeType, dashedName

id	title	challengeType	dashedName
6a2037a68a0bc2aef0006004	Challenge 342: Dice Odds	28	challenge-342

--description--

Given a number of six-sided dice to roll and a target sum, return the odds of rolling that sum as a string in the format "1 in X".

• The number of dice will be between 1 and 6.
• The target sum is always achievable with the given number of dice.
• Round "X" to the nearest whole number.

--hints--

getOdds(1, 5) should return "1 in 6".

assert.equal(getOdds(1, 5), "1 in 6");

getOdds(2, 4) should return "1 in 12".

assert.equal(getOdds(2, 4), "1 in 12");

getOdds(3, 10) should return "1 in 8".

assert.equal(getOdds(3, 10), "1 in 8");

getOdds(4, 7) should return "1 in 65".

assert.equal(getOdds(4, 7), "1 in 65");

getOdds(5, 26) should return "1 in 111".

assert.equal(getOdds(5, 26), "1 in 111");

getOdds(6, 35) should return "1 in 7776".

assert.equal(getOdds(6, 35), "1 in 7776");

--seed--

--seed-contents--

function getOdds(dice, target) {

  return dice;
}

--solutions--

function getOdds(dice, target) {
  let validCombos = 0;
  const totalCombos = Math.pow(6, dice);

  function roll(diceLeft, sum) {
    if (diceLeft === 0) {
      if (sum === target) validCombos++;
      return;
    }
    for (let face = 1; face <= 6; face++) {
      roll(diceLeft - 1, sum + face);
    }
  }

  roll(dice, 0);
  return `1 in ${Math.round(totalCombos / validCombos)}`;
}