# Problem 389: Platonic Dice
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.