A particle moves on a circle through points marked clockwise as 0, 1, 2, 3, and 4. At each step, the particle has an equal chance of moving one step clockwise or counterclockwise. a) Find the limiting probabilities of being at each of the points. b) Assume that at each step, the probability of moving one step clockwise is now 0.99. Find the limiting probabilities.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A particle moves on a circle through points marked clockwise as 0, 1, 2, 3, and 4. At each step, the particle has an
equal chance of moving one step clockwise or counterclockwise.
a) Find the limiting probabilities of being at each of the points.
b) Assume that at each step, the probability of moving one step clockwise is now 0.99. Find the limiting probabilities.
Transcribed Image Text:A particle moves on a circle through points marked clockwise as 0, 1, 2, 3, and 4. At each step, the particle has an equal chance of moving one step clockwise or counterclockwise. a) Find the limiting probabilities of being at each of the points. b) Assume that at each step, the probability of moving one step clockwise is now 0.99. Find the limiting probabilities.
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