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SusanAthena, Master's Degree
Category: Calculus and Above
Satisfied Customers: 102
Experience:  Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.
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An urn contains 6 red. At each round we pick a random ball

Customer Question

An urn contains 6 red balls. At each round we pick a random ball from the urn and replace it with a blue ball. The experiment ends when there are no more red balls in urn. What the is the expectation on number of rounds needed to complete the experiment?
Question 1. A strategy determines who shoots at whom at every round. Determine the best strategy for all three players. Explain why.
Question 2. Create a Markov Chain to solve this problem.
(a) First list all states.
(b) Second make a connections and determine the probabilities.
(c) Create a Markov diagram (graph).
(d) Determine all absorbing states.
(e) Create transition Matrix.
(f) Compute the winning probabilities for all players as well as probability that no one would survive.
(g) What is the expectation on number of rounds needed to finish the truel? Hint: Recall that for absorbing cases the k-th power of the matrix represents the probability of getting into the absorbing case UP TO k-th round.
Submitted: 15 days ago.
Category: Calculus and Above
Customer: replied 15 days ago.
I have tried to attempt this problem, but do not know where to start.
Expert:  George Sibiya replied 15 days ago.


Welcome to JustAnswer. How soon do you need it completed?



Customer: replied 15 days ago.
By tomorrow would be great. Thank you for your help
Expert:  George Sibiya replied 15 days ago.

Ok cool. I will update you on the progress.

Customer: replied 15 days ago.
Just looked over what I posted earlier and noticed I added the Question 1 and 2. Please disregard question 1 and 2. I only need help with the very first part about the urn and balls. Thank you.

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