A truel is like a duel except there are three players involved. We will call them player A, player B, and Player C. Each player comes with his…

A truel is like a duel except there are three players involved. We will call them player A, player B, and Player C. Each player comes with his probability of hitting a target. Player A hits a target with probability pA=0.70, Player B with probability pB=0.60 and Player C with probability pC=0.1. The game is played by rounds. At each round the players shoot at each other simultaneously, hence their speed doesn’t matter. The truel is over when ONLY ONE player is still alive or if all three of them are dead. We assumed that each player has infinitely many bullets.

For the truel, use the following strategy: A shoots at B, B shoots at A, C shoots at A.

Question: Create a Markov Chain to solve this problem.

(a)  First list all states.

(b)  Second make a connections and determine the probabilities. Create a Markov diagram (graph).

(c)  Determine all absorbing states.

(d)  Create transition Matrix.

(e)  Compute the winning probabilities for all players as well as probability that no one survives.

(f) Compute the expected number of rounds for the whole truel using a pdf table which is used to compute expectation

Show more







Calculate Your Essay Price
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Order your essay today and save 10% with the coupon code: best10