d269909faa
* fix: clean-up Project Euler 381-400 * fix: missing image extension * fix: missing subscripts Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
49 lines
992 B
Markdown
49 lines
992 B
Markdown
---
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id: 5900f4f21000cf542c510004
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title: 'Problem 389: Platonic Dice'
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challengeType: 5
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forumTopicId: 302053
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dashedName: problem-389-platonic-dice
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---
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# --description--
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An unbiased single 4-sided die is thrown and its value, $T$, is noted.
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$T$ unbiased 6-sided dice are thrown and their scores are added together. The sum, $C$, is noted.
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$C$ unbiased 8-sided dice are thrown and their scores are added together. The sum, $O$, is noted.
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$O$ unbiased 12-sided dice are thrown and their scores are added together. The sum, $D$, is noted.
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$D$ unbiased 20-sided dice are thrown and their scores are added together. The sum, $I$, is noted.
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Find the variance of $I$, and give your answer rounded to 4 decimal places.
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# --hints--
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`platonicDice()` should return `2406376.3623`.
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```js
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assert.strictEqual(platonicDice(), 2406376.3623);
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```
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# --seed--
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## --seed-contents--
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```js
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function platonicDice() {
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return true;
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}
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platonicDice();
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```
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# --solutions--
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```js
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// solution required
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```
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