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August 23, 2014

Homework Help: heeeeeeeeeeelp math

Posted by lin on Friday, July 5, 2013 at 8:30am.

A strip of 41 squares is numbered 0,1,2,,40 from left
to right and a token is placed on the square marked 0. Pinar
rolls a pair of standard six-sided dice and moves the token right a number of squares equal to the total of the dice roll. If Pinar rolls doubles, then she rolls the dice a second time and moves the token in the same manner. If Pinar gets doubles again, she rolls the dice a third time and moves the token in the same manner. If Pinar rolls doubles a third time she simply moves the token to the square marked 36.
The expected value of the square that the token ends on can be expressed as a/b where a and b are coprime positive
integers. What is the value of a+b.

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