Statistiques

Binomial Probability Calculator: Calculate Probability Online

Effortlessly calculate binomial probability online. Visualize binomial distributions, understand the probability of successes in trials. Interactive, free, and user-friendly!

Trials

Total number of independent experiments.

(0 to 1)

Likelihood of success in a single trial.

Successes

Desired number of successful outcomes.

Calculation Result:

Formula: $$P(X=k) = {n \choose k} \cdot p^k \cdot (1-p)^{n-k}$$
Probability:

Binomial Distribution Visualization:

Understanding Binomial Probability

The Binomial Probability Calculator is designed to help you calculate the probability of achieving a specific number of successes in a series of independent Bernoulli trials. Each trial in a binomial experiment has only two possible outcomes: success or failure. This tool is particularly useful in various fields such as statistics, quality control, and risk assessment.

For example, if you are flipping a coin 10 times and want to know the probability of getting exactly 5 heads, you can use this calculator. Simply input the number of trials (n=10), the probability of success on a single trial (p=0.5 for a fair coin), and the desired number of successes (k=5). The calculator will then compute the binomial probability for you and visualize the distribution.

Key Terms:

  • Number of Trials (n): The total number of independent trials or experiments.
  • Probability of Success (p): The probability of success in a single trial, ranging from 0 to 1.
  • Number of Successes (k): The specific number of successes for which you want to calculate the probability.

Learn more about binomial distribution on Wikipedia.