## Binomial Distribution Calculator

Calculate probabilities and percentiles for a binomial distribution.

**Frequently Asked Questions (FAQs):**

**What is a binomial distribution, and why is it important?**- A binomial distribution models the probabilities of a fixed number of successful outcomes in a series of independent Bernoulli trials. It's important in probability theory for scenarios involving binary outcomes, such as success or failure.

**What is the formula for calculating binomial distribution probabilities?**- The formula for calculating the probability of observing exactly
**k**successes in**n**trials, with a success probability of**p**, in a binomial distribution, is:

- Where
**n**is the number of trials,**k**is the number of successes,**p**is the success probability, and**{n choose k}**is the binomial coefficient.

- The formula for calculating the probability of observing exactly
**How do I interpret binomial distribution probabilities?**- Binomial distribution probabilities provide the likelihood of achieving a specific number of successes in a fixed number of trials. It's often used to model success-failure scenarios, such as coin flips or product defect rates.