def dieTable(numDice, numSides): if numDice == 0: return {0: 1} outcomes = dict([(roll, 0) for roll in range(1, numDice * numSides + 1)]) outcomesFromOtherDice = dieTable(numDice - 1, numSides) for roll, count in outcomesFromOtherDice.items(): for side in range(1, numSides + 1): outcomes[side + roll] += count return outcomes def oddsToBeat(target, table): total = 0 above = 0 for roll, count in table.items(): if roll > target: above += count total += count return float(above) / float(count) def printDieTable(table): for roll in range(1, len(table) + 1): if roll in table: count = table[roll] else: count = 0 print "%2d: %d" % (roll, count) # printDieTable(dieTable(3,4)) print oddsToBeat(5, dieTable(3,4))
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