Suppose now that a new die is produced which cannot score one greater (modulo 6) than the preceding score, all other scores having equal probability. By considering the relationship between the two dice find the value of p for the new die. (That is, find the probability that the nth score is 6, given that the first score is 6).

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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Suppose now that a new die is produced which cannot score one greater (modulo 6)
than the preceding score, all other scores having equal probability. By considering
the relationship between the two dice find the value of p for the new die. (That is,
find the probability that the nth score is 6, given that the first score is 6).
Transcribed Image Text:Suppose now that a new die is produced which cannot score one greater (modulo 6) than the preceding score, all other scores having equal probability. By considering the relationship between the two dice find the value of p for the new die. (That is, find the probability that the nth score is 6, given that the first score is 6).
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