Draw state diagram and find transition probability matrix

Reference no: EM131216539

N balls labeled 1 through are placed in Box 1 while a Box 2 is initially empty.

At each time instant, one of the balls is chosen (with equally probability) and moved to the other box.

be the number of balls in Box 1 at time instant .

Draw a state diagram and find the transition probability matrix for this Markov chain.

Note: This is known as the Ehrenfest chain and was developed by the dutch Physicist Paul Ehrenfest for the study of molecular dynamics.

Reference no: EM131216539

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