midProbability
What is a binomial distribution?
Updated May 17, 2026
Short answer
Binomial distribution models number of successes in n independent Bernoulli trials.
Deep explanation
It is defined as P(X=k)=C(n,k)p^k(1-p)^(n-k). It models repeated independent binary experiments with fixed probability.
Real-world example
Number of heads in 10 coin flips.
Common mistakes
- Assuming trials can have changing probability.
Follow-up questions
- What are binomial assumptions?
- What is expectation of binomial?