Tutorial 16: The Second Law of Thermodynamics I. Microstates and Probabilities A) If you flip a coin 10 times, predict which result are you more likely to get. Result (1): 10 heads Result (2): 5 heads and 5 tails B) If you flip a coin 10 times, predict which string of results are you more likely to get. String (1): HHHHHHHHHH String (2): HTHTTHTHHT C) Calculate (1) the total number of different strings (possibilities) that result from flipping a coin 10 times, and (2) the number of strings that represent 5 heads and 5 tails. D) Consider the following discussion between two students. Student 1: "Each microstate is equally probable, so string 1 is as likely as string 2 . But that means 10 heads is as likely as 5 heads and 5 tails, which doesn't make sense." Student 2: "Right, 5 heads and 5 tails is more likely, so string 2 is more probable than string \( 1 . " \) Neither student is entirely correct. Explain the flaw(s) in the reasoning of each one.
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- When you flip a coin, there are only two possible outcomes for each flip: heads (H) or tails (T). Each flip is independent of the others, meaning the outcome of one flip does not affect the outcomes of any other flips. Show more…
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