Question

4. Consider three coins being flipped - 8 possible outcomes (H,H,H), (H,H,T),... (T,T,T)} where "H" and "T" refer to the head and tail of each coin. In this exercise, we are going to call each outcome a "microstate" of this three-coin system. (a) What is the probability to have two heads for the 3-coin system? (b) If there are N coins, rather than three, how many microstates are possible? (c) For an N-coin system, the number of microstates associated with n heads (or N-n tails) is given by N(N, n) = . What is the probability for an N-coin system to have n heads?

Answer 1

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