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Can I get the step-by-step solutions to both of these questions? Al.1 A12 MATH103 Probability Coursework 1 Andy and Barry play a darts match. The

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Can I get the step-by-step solutions to both of these questions?

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Al.1 A12 MATH103 Probability Coursework 1 Andy and Barry play a darts match. The first to win either two games in a row or three games wins the match. List the possible outcomes of the match. i.e. list the outcomes in the sample space. It may be helpful to make a tree diagram. By using only the axioms of probability, and the properties of sets. prove that if A g B then P(A) 5 P{B). Hint: Express B as a disjoint union of A and another set. Every question is worth 3 marks, awarded as follows: 3 - essentially perfect; 2 - minor mistakes/gaps/inaccuracies; 1- some good ideas but with major mistakes and incom- plete; 0 - entirely wrong or no answer at all or wrong question. An additional mark is awarded if the writing style is clear, readable and accurate and the paper looks overall clean. This results in a maximum of 7 marks for this coursework

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