Expected Number of Rolls Until Player Lands in Jail
 Let m be a column vector of length 120  3 = 117 and
1
a column
vector of 117 ones, and solve m = 1 + Q
· m, where
Q is the 117 × 117 matrix obtained by removing from
P the
rows and columns
corresponding to the Jail spaces. Solving for m, we have
m = (I_{117}  Q)^{1}
1.
(This computation takes less than one second with Mathematica.)

Starting in State (s,d) (independent of choice of LJ or RIJ)

Starting at Space s
 Overall Expectation

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