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A probability provides a quantitative description of the likely occurrence of a particular event.
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Probability of doing a specific Path in a Markov Chain
It can be reached only from $4$ with probability $p_{45}$, i.e., transition probability from $4$ to $5$ and it arrives at $5$ with probability 1.
Calculate the $P(2,5)-P(2, 4^\prime)$. … This is the probability that the mouse ends at $5$ without being eaten.
I hope this helps. …