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Engineering, 23.04.2020 21:25 lakhanir2013

A board game has 20 squares in a row. You start at square 1 and end at square 20. You cannot move beyond 20. If your move goes beyond 20, you cannot move and you do nothing during the turn. You spin a wheel where the probability of each move is a follows
Move Percent

1 square toward the finish 10
2 squares towards the finish 10
3 squares towards the finish 10
4 squares towards the finish 10
5 squares towards the finish 10
6 squares towards the finish 10
Nothing 10
Move 1 squares back 10
Move 2 squares back 10
Move 3 squares back 10

Draw the markov chain?
What is the chance the game ends prior to the 11th move?
What is the chance the game ends prior to the 21th move?
What is the chance the game ends prior to the 31th move?
What is the chance the game ends prior to the 41th move?
What is the chance the game ends prior to the 100th move?

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Answers: 1

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