Q:

A fair coin is tossed 28 times. what is the probability that at most 25 tails occur?

Accepted Solution

A:
Using the concept of binomial probability, the probability of obtaining at most 25 tails is 0.999Recall : P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.5 n = number of trials = 28q = 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) = 0.999Therefore, the probability of obtaining at most 25 tails is 0.999Learn more :