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# Flip a coin 100 times and set X = # of heads. (a) How many sequences of 100 coin flips include exactly 50 heads?

## Flip a coin 100 times and set X = # of heads. (a) How many sequences of 100 coin flips include exactly 50 heads? (b) What is the probability of a single sequence of 100 flips with exactly 50 heads? (c) Compute Px (50) = P(X = 50), the probability of 50 heads in 100 flips. (d) Now answer (c) for a coin that isn't fair: P(Heads) = p for each coin flip. => (e) Next, compute Px(x) = P(X = x), the probability of r heads in 100 flips, still assuming P(Heads) = p for each coin flip. (f) Finally, change 100 flips to n flips, and compute Px(x) = P(X = x), the probability of x heads in n flips, with P(Heads) = p for each coin flip.

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