Suppose the process starts in state So, what is the probability that the process enters S2 for the first time in the 4th step?

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A Markov chain is described by the transition diagram
1/4
1/4
S
1/2
1/2
S2
SA
1/2
1/2
1/3
1/2
(S)
Ss
1
1/3
So
1/3
Suppose the process starts in state So, what is the probability that the process
enters S2 for the first time in the 4th step?
Hint: Use the diagram to figure it out.
Select one
OA 1/144
OB 1/768
OC 1/48
OD 1/192
OE 1/12
Transcribed Image Text:A Markov chain is described by the transition diagram 1/4 1/4 S 1/2 1/2 S2 SA 1/2 1/2 1/3 1/2 (S) Ss 1 1/3 So 1/3 Suppose the process starts in state So, what is the probability that the process enters S2 for the first time in the 4th step? Hint: Use the diagram to figure it out. Select one OA 1/144 OB 1/768 OC 1/48 OD 1/192 OE 1/12
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