The probability of getting a tail most of the time in 10 tosses of an unbiased coin

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The probability of getting a tail most of the time in 10 tosses of an unbiased coin

Mathematics
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most of the times means more then 5 times
I assume that means the probability of getting a tail 6, 7, 8 , 9, or 10 times? This is binomial probability. If the total coin flips (10) is n, the number of successes (6,7,8,9, or 10) is r, the probability of success (tails) is p, and the probability of failure ( heads) is q, you find \[ P(r) = \frac{n!}{r!(n-r)!} p^r q^{n-r} \] right? Calculate the probability for r = 6, r = 7, r = 8, r = 9, and r= 10, and add them all together.
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