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Use MATLAB and programming as a tool to help solve engineering problems

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

2. Learning Outcomes

By completing this coursework you are demonstrating your progress on the following of the module's learning outcomes:

1. Use MATLAB and programming as a tool to help solve engineering problems

2. Move towards independent research, application and analysis of numerical methods for engineering problems

3. Convey technical information in a written report to a professional standard

3.

Tasks

This coursework consists of three tasks where you need to demonstrate your MATLAB skills. You should complete all three tasks and write the results up in a report. The report must include a brief description of how you approached each task, all the code that you used to complete the tasks, as well as the relevant outputs. The coursework should be submitted as a single pdf-file through the Assignment folder on S

Conciseness in explanation and presentation is important, and the whole report does not need to take more than 8 pages. However, if you do not manage to meet this limit, you should prioritize being complete, clear and correct over being concise and sticking to the page limit.

Task 1. n-Yahtzee (30 points)

In the game of Yahtzee, five dice are rolled and the combination of numbers rolled determines the score. The most desired combination is a Yahtzee: all five dice have the same number. In the game it is possible to hold some dice while rethrowing the others. For instance, if a player throws four fives and one two, they may decide to hold all the fives and only throw dice with the two again hoping that it will become a five.

In the game of Yahtzee players can hold and rethrow the dice twice in every round, but for this task we are assuming unlimited attempts.

Using the randi function in MATLAB to simulate throws of the dice, you need to implement the following experiment:

1. Throw five dice

2. Of the five dice, decide which ones to hold whilst optimizing the chance for a Yahtzee in the next throw.

3. Throw the remaining dice

4. Repeat step 2 and 3 until you have thrown a Yahtzee

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