Using the concept of binomial probability, the probability of obtaining at most 25 tails is 0.999
Recall :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.5
- n = number of trials = 28
- q = 1 - p = 0.5
The probability of tail occurring at most 25 times can be defined thus :
- P(X ≤ 25) = P(X = 0) + P(X = 1) +... + P(X = 25)
Using a binomial probability calculator :
P(X ≤ 25) = 0.999
Therefore, the probability of obtaining at most 25 tails is 0.999
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