83 lines
2.8 KiB
Python
83 lines
2.8 KiB
Python
"""
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util/odds.py
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Calculate the odds of winning a lottery game
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"""
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from math import comb
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def calculate_odds(pool_size: int, draw_count: int) -> int:
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"""
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Calculate the total number of possible combinations in a set of numbers
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with a specific draw count.
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:param pool_size: Total count of numbers in the pool
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:param draw_count: The count of numbers to draw from the pool
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:return: The total number of possible combinations
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Example:
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If a lottery game has a main ball pool of 49 numbers from which 5
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numbers are drawn and a pool of
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18 numbers from which 1 number is drawn (game ball), calculate the
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odds of winning that game.
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>>> calculate_odds(pool_size=49, draw_count=5)
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1906884
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>>> calculate_odds(pool_size=18, draw_count=1)
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18
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"""
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if draw_count < 0 or draw_count > pool_size:
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raise ValueError(
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'Integer values must be positive and draw counts must be less '
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'than pool size.',
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)
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total_combinations = comb(pool_size, draw_count)
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return total_combinations
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def get_odds_of_winning(
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main_ball_draw_pool: int,
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main_ball_draw_count: int,
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game_ball_draw_pool: int,
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game_ball_draw_count: int,
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) -> str:
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"""
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Calculate the odds of winning a specific lottery game with one draw
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:param main_ball_draw_pool: Total count of numbers in the main ball pool
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:param main_ball_draw_count: The count of numbers to draw from the
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main ball pool
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:param game_ball_draw_pool: Total count of numbers in the game ball pool
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:param game_ball_draw_count: The count of numbers to draw from the
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game ball pool
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:return: The odds of winning a specific lottery game with one draw
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Example:
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To calculate the odds of winning a lottery game with 5 numbers
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drawn from a main ball pool of 49 and
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1 number drawn from a game ball pool of 19 numbers.
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>>> get_odds_of_winning(main_ball_draw_pool=49,
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main_ball_draw_count=5, game_ball_draw_pool=18,
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game_ball_draw_count=1)
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'The odds of winning are 1 in 34,323,912'
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"""
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if (
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main_ball_draw_count < 0 or main_ball_draw_count >
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main_ball_draw_pool or
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game_ball_draw_count < 0 or game_ball_draw_count >
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game_ball_draw_pool):
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raise ValueError(
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'Integer values must be positive and draw counts must be less '
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'than pool size.',
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)
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main_ball_odds = calculate_odds(main_ball_draw_pool, main_ball_draw_count)
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game_ball_odds = calculate_odds(game_ball_draw_pool, game_ball_draw_count)
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return f"The odds of winning are 1 in {main_ball_odds * game_ball_odds:,}"
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