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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).

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).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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isn't there 5 prime numbers (2,3,5,7,11) in twelve sided die? Previous answer said it has 4. 

Please solve it. It is a discrete Math question

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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