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1) Suppose we flip n = 2 coins at the same time. If we are interested in how many heads we might get, then we

1) Suppose we flip n = 2 coins at the same time. If we are interested in how many heads we might get, then we can define a macrostate by just naming N = the number of heads. How many possible macrostates are there when you flip 2 coins? 2) Now we count the total number of different possible ways the coins can land when we toss two coins. We call these "possible ways" microstates. For our two coin toss, list all the possible microstates. 4) In this class we will mostly analyze systems where each microstate equally probable. Does a coin flip system have equally probably microstates? Explain why or why not. Come up with examples of systems where the contrary is true. 5) ItshouldbereasonabletoyouthattheprobabilityP(N),ofthrowingcoinsandgettingaresult(a macrostate) with N heads is just the total number of microstates that yield that macrostate divided by the total number of microstates (given that the answer to 4) is yes): P(state I) = # microstates that results in macrostate 1/ total # microstates in the system For 2 coins the total number of microstates is 4 so fill in the probabilities for the following macrostates: 0 heads/2 tails 1 heads/1 tails 2 heads/0 tails P(N=0) = 1/4. P(N=1) = ___. P(N=2) = _

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