AbraCalc

Binomial Probability: 5 Trials, 3 Successes, p = 0.7

With a 70% success probability, the chance of exactly 3 successes in 5 trials is approximately 30.9%.

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How to use this tool

  1. Enter trials (n), successes (k) and probability of success (p) in the fields above.
  2. Results update instantly as you type — or click Calculate.
  3. Read your p(x = k) and the full breakdown beneath it.

Calculate the binomial probability of 3 successes in 5 trials when each trial has a 70% success rate, such as a free throw percentage in basketball.

Frequently asked questions

What is the binomial distribution?
The binomial distribution models the number of successes in n independent yes/no trials, each with the same probability p of success. Classic examples: coin flips, pass/fail tests.