The probability of going from state C to state A in three trials is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 77E
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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
C
A
0.4 0.3 0.3
0.25 0.48 0.27
0.223 0.504 0.273
P= B
0.2 0.5 0.3
p2 = B
0.21 0.52 0.27
p° = B
0.215 0.512 0.273
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 C A 0.4 0.3 0.3 0.25 0.48 0.27 0.223 0.504 0.273 P= B 0.2 0.5 0.3 p2 = B 0.21 0.52 0.27 p° = B 0.215 0.512 0.273 The probability of going from state C to state A in three trials is.
A 0.4 0.3 0.3
0.25 0.48 0.27
0.223 0.504 0.273
P= B
0.2 0.5 0.3
p2 = B
0.21 0.52 0.27
p = B
0.215 0.512 0.273
C 0.1 0.7 0.2
C
0.20 0.52 0.28
C
0.212 0.516 0.272
The probability of going from state C to state A in three trials is
Transcribed Image Text:A 0.4 0.3 0.3 0.25 0.48 0.27 0.223 0.504 0.273 P= B 0.2 0.5 0.3 p2 = B 0.21 0.52 0.27 p = B 0.215 0.512 0.273 C 0.1 0.7 0.2 C 0.20 0.52 0.28 C 0.212 0.516 0.272 The probability of going from state C to state A in three trials is
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