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Find the ratio of the probabilities between state 1 and state 2 (P(system in state 1)/P(system...

Find the ratio of the probabilities between state 1 and state 2 (P(system in state 1)/P(system in state 2)) of the following question.

Find the probability that a tank of 100 grams of water will go from the state with the whole at 47 degrees (Celsius) to the state with the left half at 7 degrees (Celsius) and the right half at 87 degrees (Celsius).

Please, derive the equation you are going to use, so I can now from where it comes.

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