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Mathematics, 26.07.2020 01:01 bayleegreen

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 Upper Pequals A B C [Start 3 By 3 Matrix 1st Row 1st Column 0.2 2nd Column 0.3 3rd Column 0.5 2nd Row 1st Column 0.2 2nd Column 0.2 3rd Column 0.6 3rd Row 1st Column 0.1 2nd Column 0.3 3rd Column 0.6 EndMatrix ]Upper P squaredequals A B C [Start 3 By 3 Matrix 1st Row 1st Column 0.15 2nd Column 0.27 3rd Column 0.58 2nd Row 1st Column 0.14 2nd Column 0.28 3rd Column 0.58 3rd Row 1st Column 0.14 2nd Column 0.27 3rd Column 0.59 EndMatrix ]Upper P cubedequals A B C [Start 3 By 3 Matrix 1st Row 1st Column 0.142 2nd Column 0.273 3rd Column 0.585 2nd Row 1st Column 0.142 2nd Column 0.272 3rd Column 0.586 3rd Row 1st Column 0.141 2nd Column 0.273 3rd Column 0.586 EndMatrix ]

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Find the probability of going from state C to state A in three trials, given the transition matrix P...
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