--description--

An unbiased single 4-sided die is thrown and its value, $T$, is noted.

$T$ unbiased 6-sided dice are thrown and their scores are added together. The sum, $C$, is noted.

$C$ unbiased 8-sided dice are thrown and their scores are added together. The sum, $O$, is noted.

$O$ unbiased 12-sided dice are thrown and their scores are added together. The sum, $D$, is noted.

$D$ unbiased 20-sided dice are thrown and their scores are added together. The sum, $I$, is noted.

Find the variance of $I$, and give your answer rounded to 4 decimal places.

--hints--

platonicDice() should return 2406376.3623.

assert.strictEqual(platonicDice(), 2406376.3623);

--seed--

--seed-contents--

function platonicDice() {

  return true;
}

platonicDice();

--solutions--

// solution required