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Given that there are currently 35% in state 1, 25% in state 2, and the rest are in state 3 and a one month transition

Given that there are currently 35% in state 1, 25% in state 2, and the rest are in state 3 and a one month transition matrix A with

A=

.20 I .30 I .50

.10 I .45 I .45

.60 I .05 I .35

State the probability that an individual in state 2 is in state 3 after three repetitions of the experiment

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