A particle moves on a circle through points which have been labelled  1,2,3,4,5 (in a clockwise order). At each step, it has a probability  0.3  of moving to the right  (clockwise) one point and  0.7  of moving to the left (anti-clockwise) one point.  Let  Xn  denote its location on the circle after the nth  step.  If  X0=1  and if  α=P{X1=2,X2=3,X3=4,X4=3}, then  275α  equals

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A particle moves on a circle through points which have been labelled  1,2,3,4,5 (in a clockwise order). At each step, it has a probability  0.3  of moving to the right  (clockwise) one point and  0.7  of moving to the left (anti-clockwise) one point.  Let  Xn  denote its location on the circle after the nth  step.  If  X0=1  and if  α=P{X1=2,X2=3,X3=4,X4=3}, then  275α  equals 

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