If a fair coin is tossed 9 times, find the probability of (a) exactly six heads, (b) at least six heads, (c) at most six heads.

Explanation

To solve the problem of finding the probability of tossing a fair coin 9 times, we will use the binomial distribution formula. The formula for the probability of getting exactly \( r \) successes (heads in this case) in \( n \) trials (coin tosses) is given by:

\[ P(X = r) = \binom{n}{r} p^r (1-p)^{n-r} \]

Where:
- \( n \) = number of trials (coin tosses) = 9
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