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    Set up a probability space

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    Consider the experiment of rolling two fair 6-sided dice. The outcome of the experiment will be used to play a game in which a player's piece advances by the total of the two dice.

    (a) Set up a probability space which accurately models this experiment.
    (b) Write down, as a set, the event that the sum of the two dice is 5. Find the probability of this event.
    (c) Your friend wants to set up a probability space for this experiment by letting S = {2, 3, ... , 12} and P(E) = |E| / |S| for all E SUBSET S. What, if anything, is wrong with this proposal?

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    Solution Summary

    This solution assesses probability spaces for proposals.