Binomial Probability: Rolling a 1 on a Six-Sided Die Once in 6 Rolls
The probability of rolling exactly one 1 in six rolls of a fair die (p ≈ 1/6) is approximately 40.2%.
How to use this tool
- Enter trials (n), successes (k) and probability of success (p) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your p(x = k) and the full breakdown beneath it.
Use the binomial formula to calculate the probability of rolling exactly one 6-sided die face in six attempts.
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.