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Jacob rolls 4 regular dices (six sided standard). One White, One orange, One Yellow, One Purple, a) Please explain and describe what a 'state' is, and the given ensemble that represents the following situation involving Jacob. How many bits of info is missing? b) If the sum of the faces of the four dice is known to be six, what ensemble best represents the situation involving Jacob? How many bits of info are still missing? c) The total roll is 6 as shown in the below chart. What are the probabilities P, – Pg for the various faces 1-6 of the white Die? Also please calculate how much missing info is associated with this Prob distribution

Jacob rolls 4 regular dices (six sided standard). One White, One orange, One Yellow, One Purple, a) Please explain and describe what a 'state' is, and the given ensemble that represents the following situation involving Jacob. How many bits of info is missing? b) If the sum of the faces of the four dice is known to be six, what ensemble best represents the situation involving Jacob? How many bits of info are still missing? c) The total roll is 6 as shown in the below chart. What are the probabilities P, – Pg for the various faces 1-6 of the white Die? Also please calculate how much missing info is associated with this Prob distribution

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Jacob rolls 4 regular dices (six sided standard). One White, One orange, One Yellow, One Purple, a) Please explain and describe what a 'state' is, and the given ensemble that represents the following situation involving Jacob. How many bits of info is missing? b) If the sum of the faces of the four dice is known to be six, what ensemble best represents the situation involving Jacob? How many bits of info are still missing? c) The total roll is 6 as shown in the below chart. What are the probabilities P, – P, for the various faces 1-6 of the white Die? Also please calculate how much missing info is associated with this Prob distribution Below chart for c: Die Normal ORANGE Grime Side 1 | Side 2 | Side 3 Side 4| Side 5 | Side 6 | Mean Roll 3.5 3.5 4. 3 3 3 3. 3 6. PURPLE Grime YELLOW Grime 2 2 3.5 4 4 3.5 d) Please calculate a numerical value for the ratio for the answer in part c to the answer in part b. If this ratio is not equal to one-fourth (.25), please explain why it makes sense that the missing info associated with one out of the four dice is more (or less) then one-fourth of the total
Transcribed Image Text:Jacob rolls 4 regular dices (six sided standard). One White, One orange, One Yellow, One Purple, a) Please explain and describe what a 'state' is, and the given ensemble that represents the following situation involving Jacob. How many bits of info is missing? b) If the sum of the faces of the four dice is known to be six, what ensemble best represents the situation involving Jacob? How many bits of info are still missing? c) The total roll is 6 as shown in the below chart. What are the probabilities P, – P, for the various faces 1-6 of the white Die? Also please calculate how much missing info is associated with this Prob distribution Below chart for c: Die Normal ORANGE Grime Side 1 | Side 2 | Side 3 Side 4| Side 5 | Side 6 | Mean Roll 3.5 3.5 4. 3 3 3 3. 3 6. PURPLE Grime YELLOW Grime 2 2 3.5 4 4 3.5 d) Please calculate a numerical value for the ratio for the answer in part c to the answer in part b. If this ratio is not equal to one-fourth (.25), please explain why it makes sense that the missing info associated with one out of the four dice is more (or less) then one-fourth of the total
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