I was curious about the distribution of results for dice. So, I wrote a few lines of Python.

dice_distribution.py

def dice_distribution(num_sides: int) -> dict[int, float]:
    """
    Get the distribution of possible results of two thrown dice
    """
    distribution = {}
    for x in dice_generator(num_sides):
        for y in dice_generator(num_sides):
            value = x + y
            distribution.setdefault(value, 0)
            distribution[value] += 1

    num_possibilities = num_sides ** 2
    distribution = {k: round((v / num_possibilities), 2) for k, v in distribution.items()}

    print(distribution)


def dice_generator(num_sides: int):
    for side in range(1, num_sides+1):
        yield side

dice_distribution(6)