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Sum of random variables and ugly code solution in 3rd party category for Probably Dice by clx_gg
import numpy as np
def probability(dice_number, sides, target):
outcome_prob = [1/sides for i in range(sides)]
new_outcome_prob = outcome_prob
for i in range(dice_number-1):
new_outcome_prob = np.convolve(outcome_prob, new_outcome_prob)
if target >= dice_number and target <= sides*dice_number:
return new_outcome_prob[target-dice_number]
else:
return 0
if __name__ == '__main__':
#These are only used for self-checking and are not necessary for auto-testing
def almost_equal(checked, correct, significant_digits=4):
precision = 0.1 ** significant_digits
return correct - precision < checked < correct + precision
probability(2,3,2)
assert(almost_equal(probability(2, 6, 3), 0.0556)), "Basic example"
assert(almost_equal(probability(2, 6, 4), 0.0833)), "More points"
assert(almost_equal(probability(2, 6, 7), 0.1667)), "Maximum for two 6-sided dice"
assert(almost_equal(probability(2, 3, 5), 0.2222)), "Small dice"
assert(almost_equal(probability(2, 3, 7), 0.0000)), "Never!"
assert(almost_equal(probability(3, 6, 7), 0.0694)), "Three dice"
assert(almost_equal(probability(10, 10, 50), 0.0375)), "Many dice, many sides"
Aug. 13, 2019
