Problem 205

Dice Game

Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4.
Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6.

Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal.

What is the probability that Pyramidal Pete beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg

骰子游戏

彼得有九个四面的（金字塔型）骰子，每个面上分别标有1，2，3，4。
科林有六个六面的（立方体型）骰子，每个面上分别标有1，2，3，4，5，6。

彼得和科林分别掷出他们的所有骰子，并比较点数和：点数和更大者获胜。如果点数和相同，双方打成平手。

金字塔彼得击败立方体科林的概率是多少？你的答案应当四舍五入至七位小数，即格式为0.abcdefg。