n people are seated around a round table (n ≥ 3) and each person rolls a fair twelve-sided die. If a person rolls a prime number and the neighbor on either side of them does NOT roll a prime number, the person gets a prize. Let X be the R.V. that denotes the number of people who receive prizes. Find E(X).

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Discrete Math

n people are seated around a round table (n ≥ 3) and each person rolls a fair twelve-sided die.
If a person rolls a prime number and the neighbor on either side of them does NOT roll a prime
number, the person gets a prize. Let X be the R.V. that denotes the number of people who
receive prizes. Find E(X).
Transcribed Image Text:n people are seated around a round table (n ≥ 3) and each person rolls a fair twelve-sided die. If a person rolls a prime number and the neighbor on either side of them does NOT roll a prime number, the person gets a prize. Let X be the R.V. that denotes the number of people who receive prizes. Find E(X).
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