Expected Maximum of Two Dice

Problem

Return the expected maximum of two independent fair dice, each with the given number of sides.

E[max] = sum over k of k * (2k - 1) / sides^2, which simplifies to (sides + 1) * (4 * sides - 1) / (6 * sides). Return 0.0 for sides <= 0.

Hint

P(max = k) = (2k - 1) / sides^2 for two independent fair dice.

case 1

in: [6]

expected: 4.472222222222222

case 2

in: [2]

expected: 1.75

case 3

in: [1]

expected: 1

Starter codePython

def expected_max_two_dice(sides):
    # Your code here
    pass

3 test cases · run your code against them in the editor