project_euler.problem_205.sol1

Project Euler Problem 205: https://projecteuler.net/problem=205

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 Peter beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg

Functions

solution(→ float)	Returns probability that Pyramidal Peter beats Cubic Colin
total_frequency_distribution(→ list[int])	Returns frequency distribution of total

Module Contents

project_euler.problem_205.sol1.solution() → float

Returns probability that Pyramidal Peter beats Cubic Colin rounded to seven decimal places in the form 0.abcdefg

>>> solution()
0.5731441

project_euler.problem_205.sol1.total_frequency_distribution(sides_number: int, dice_number: int) → list[int]

Returns frequency distribution of total

>>> total_frequency_distribution(sides_number=6, dice_number=1)
[0, 1, 1, 1, 1, 1, 1]

>>> total_frequency_distribution(sides_number=4, dice_number=2)
[0, 0, 1, 2, 3, 4, 3, 2, 1]