game

tennis_probability.game(score_a: int, score_b: int, p: float) → float

Recursively calculates the probability of player A winning at any state in a game.

Parameters:

• score_a – The score for player A.

• score_b – The score for player B.

• p – The independent probability of player A winning any given point in a game.

Raises:

• NegativeNumber – When either score is negative.

• InvalidInput – When the score for the players is invalid - arguments games_won_a and games_won_b.

• InvalidProbability – When the probability is invalid - the p_game argument.

Returns:

The probability of player A winning the game.