Find the probability of going from state C to state A in three trials, given the transition matrix P and the powers of P below. A B C A B C A B C 0.43 0.21 0.36 0.6 0.3 0.1 A 0.336 0.150 0.514 0.2 0.1 0.7 p3 = B 0.212 0.070 0.718 0.21 0.07 0.72 0.15 0.03 0.82 0.1 0 0.9 с 0.178 0.048 0.774 A P= B с A P2 = B с The probability of going from state C to state A in three trials is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the probability of going from state C to state A in three trials, given the transition matrix P and the powers of P below.
A B C
A B
C
A B C
0.43 0.21 0.36
0.6 0.3 0.1
A
0.336 0.150 0.514
0.2 0.1 0.7
p3 = B 0.212 0.070 0.718
0.21 0.07 0.72
0.15 0.03 0.82
0.1
0 0.9
с 0.178 0.048 0.774
A
P= B
с
A
P2 = B
с
The probability of going from state C to state A in three trials is
Transcribed Image Text:Find the probability of going from state C to state A in three trials, given the transition matrix P and the powers of P below. A B C A B C A B C 0.43 0.21 0.36 0.6 0.3 0.1 A 0.336 0.150 0.514 0.2 0.1 0.7 p3 = B 0.212 0.070 0.718 0.21 0.07 0.72 0.15 0.03 0.82 0.1 0 0.9 с 0.178 0.048 0.774 A P= B с A P2 = B с The probability of going from state C to state A in three trials is
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