Binomial Distribution Calculator
Calculate the probability of a specific number of successes in repeated trials.
Probability: โ
Formula: C(n,k) ร pแต ร (1 โ p)โฟโปแต
Example
Flipping a coin 5 times:
n = 5
k = 3
p = 0.5
Probability โ 0.3125 (31.25%)
What does this calculator do?
It calculates the probability of getting exactly k successes in n independent trials with the same probability of success.
When should you use binomial distribution?
Use it when an experiment has only two outcomes per trial (success/failure), fixed probability, and independent trials.
Frequently Asked Questions
Can probability p be greater than 1?
No. Probability must be between 0 and 1.
What if k is greater than n?
That situation is invalid. Successes cannot exceed trials.
Is this related to combinations?
Yes. Binomial distribution uses combinations (nCr).