The probability of getting more than 8 tails from 13 flips of a fair coin is 0.1334
Total number of flips = 13
The probability of getting a tail from a coin flip = 0.5
Number of successes required = >8
Using the principle of binomial probability :
P(x = x) = nCx * p^x * q^(n-x)
Where ;
n = number of trials = 13
x = number of successes = >8
p = probability of success per trial = 0.5
q = 1 - p = 1 - 0.5 = 0.5
Hence, we have ;
P(x >8) = P(9) + P(10) + P(11) + P(12) + P(13)
Using a binomial probability calculator :
P(x > 8) = 0.1334
Therefore, the probability of getting more than 8 tails is 0.1334
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