2. A fair coin is tossed 7 times. Is it more probable to obtain exactly 4 tails or to obtain less than 3 tails?
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The probability of getting exactly k tails in n tosses is given by the binomial probability formula: $$P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}$$ where n is the number of trials, k is the number of successes (tails), and p is the probability of success (getting a Show more…
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