You roll four regular six-sided dice: one white, one red, one blue, and one green. (a) Describe what a “state" would be and the ensemble that represents the situation. How many bits of information are missing? (b) If the sum of the faces of the four dice is known to be 6, what ensemble best represents the situation, and how many bits of information are still missing? (c) Assuming the total roll is 6 as in part (b), what are the probabilities P1,..., Pg for the various faces 1-6 of the white die? How much missing information is associated with this probability distribution?
You roll four regular six-sided dice: one white, one red, one blue, and one green. (a) Describe what a “state" would be and the ensemble that represents the situation. How many bits of information are missing? (b) If the sum of the faces of the four dice is known to be 6, what ensemble best represents the situation, and how many bits of information are still missing? (c) Assuming the total roll is 6 as in part (b), what are the probabilities P1,..., Pg for the various faces 1-6 of the white die? How much missing information is associated with this probability distribution?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:You roll four regular six-sided dice: one white, one red, one blue, and one green.
(a) Describe what a "state" would be and the ensemble that represents the situation. How
many bits of information are missing?
(b) If the sum of the faces of the four dice is known to be 6, what ensemble best represents
the situation, and how many bits of information are still missing?
(c) Assuming the total roll is 6 as in part (b), what are the probabilities P1,..., Pg for the
various faces 1-6 of the white die? How much missing information is associated with this
probability distribution?
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