Consider a series of 8 flips of a fair coin a Calculate the

Consider a series of 8 flips of a fair coin. (a) Calculate the probabilities for obtaining 0-8 heads. We will consider each of these nine outcomes to be macrostates of the system. (b) Calculate the entropy for each of these macrostates. (c) Sketch plots for the probabilities and entropies of the macrostates. Use a ruler to draw your axes and make sure your scales are evenly spaced.

Solution

a)

P = 0.5

Q = 0.5

N = 8

P(X=8) = 8C8 * 0.5^8 * 0.5^8-8

for the other literals you should post it in a new quesiton