data/problems/389.yml
---
:id: 389
:name: Platonic Dice
:url: https://projecteuler.net/problem=389
:content: "An unbiased single 4-sided die is thrown and its value, <var>T</var>, is
noted. \n<var>T</var> unbiased 6-sided dice are thrown and their scores are added
together. The sum, <var>C</var>, is noted. \n<var>C</var> unbiased 8-sided dice
are thrown and their scores are added together. The sum, <var>O</var>, is noted.
\ \n<var>O</var> unbiased 12-sided dice are thrown and their scores are added together.
The sum, <var>D</var>, is noted. \n<var>D</var> unbiased 20-sided dice are thrown
and their scores are added together. The sum, <var>I</var>, is noted. \nFind the
variance of <var>I</var>, and give your answer rounded to 4 decimal places.\n\n"