Answer D please Mike and Jim will play tennis in \"best of 3\" sets format, mean

Question

Answer D please

Mike and Jim will play tennis in "best of 3" sets format, meaning that one wins the match if he already wins 2 sets. They will not play the third set after the winner of the match is determined. (a) Suppose we use such letter sequence MJM to indicate the outcome that Mike wins the first and third sets and Jim wins the second set. What is the sample space Ohm (listing all elements)? Is Ohm finite, countably finite or uncountable? (b) Let A denote the event that Mike wins the match, and B denote the event that Jim wins the first set. Describe A and D by enumerating all elements in these sets. (c) Interpret the event A B, A B and A'. Describe these events by listing all elements in the sets. (d) Are A and B disjoint? (e) Express the event C = {Mike wins the first set but Jim wins the match} by using A, B and any necessary set operations.

Explanation / Answer

A denote the event that Mike wins the match and B denote the event that Jim wins the first set. Here, A and B are disjoint because Mike wins the match does not depend on the Jim wins in the first match.

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