Assignment: This coursework asks you to compare different scoring methods for the sport of squash by simulating matches between players of different ability.

Rules of squash: This coursework uses a simplified summary of the rules of squash. Squash is a racquet game played by two players, and consists of a number of rallies. In each rally, the player who starts is the server, and the receiving player is the returner. A player wins a rally if the other player is unable to make a legal shot. Matches are usually played over a number of games, with each the winner being the player who reaches a certain score first. Professional matches are played over 5 games, with the winner being the first player to win 3.

There are two scoring systems commonly used in squash:

Point-a-rally scoring (PARS)

The winner of each rally always receives a point (regardless of whether they were the server or re- turner).

The first player to reach at least 11 points and be ahead by at least 2 points wins the game.

If the server wins a rally, they continue as server.

If the returner wins a rally, they become the server.

English scoring

Only the server is awarded a point if they win a rally.

If the server wins a rally, they receive a point and continue as server.

If the returner wins a rally, they become the server but dont receive a point.

The first player to reach 9 points wins the game unless the score has reached 8-8.

If the score reaches 8-8, the player who reached 8 first decides whether to play to 9 or to 10.

Modelling playing ability

• Assume a player As ability is represented by an integer value rA such that 0

• In a game between player A and player B, the probability that A wins any given point is:

P (A wins) = rA / rA + rB

How to solve 1d and 1e?

Questions 1. Provide code to answer the questions below. You should also provide a transcript of a Python inter- active session that shows the result of executing the test case given for each question. All parts of this question use the Point-a-rally scoring (PARS) system. (a) Define a function game (ra, rb) that implements the algorithm below to simulate a single game of squash between players with abilities ra and rb. The function should return the final score as a tuple. Start Generate random number r between 0 and 1 Isr