P(x)= p x q n-x n!/[(n-x)!x!]
where x = number of trials
x = number of successes among n trials
p = probability of success in any one trial
q = 1 -p
Example: Find the probability of getting 3 left-handed students in a class of 15 students, given that 10% of us are left-handed.
Solution: here n = 15, x=3, p =0.1, q =0.9
p(3) = 0.129, the probability is 12.9%
Very good explanation of binomial probability with example.In probability theory and statistics, the binomial distribution is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. Such a success/failure experiment is also called a Bernoulli experiment or Bernoulli trial; when n = 1, the binomial distribution is a Bernoulli distribution. Binomial Probability Formula
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