Problem 3: Entropy and probability A system can freely evolve between 3 different states. The entropies of each state are _ 221 _ 221 _ 221 512X10 K,523x10 K,andS34x10 K. A. Rank the states according to the probability that the system will be in them, from largest to smallest. B. Two students discuss about the probability of the states with respect to each other: Student 1: \"Mathematically it is a fact that state 3 is twice as likely as state 1\" Student 2: "You are missing something: double the entropy doesn't mean double the probability.\" Do you agree with either of the students? Explain your reasoning. C. To settle the discussion, you decide to calculate how much more likely the most likely state is compared to the least likely one. 1. Begin by calculating the multiplicities of each state from the entropy values. 2. Calculate the total number of states in the system. If all microstates are equally likely, calculate the probabilities P1, P2 and P3 for the system to be in each state. How much more likely is the most likely state compared to the least likely one