# Set up a probability space

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?

https://brainmass.com/math/probability/setting-up-probability-space-426484

#### Solution Summary

This solution assesses probability spaces for proposals.

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