How to use the at least one success probability calculator
Find the chance of at least one success in several independent tries. Enter probability per trial, number of trials in the fields above; the chance of at least one success, chance of no success are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “at least one success probability”, “repeated tries chance”, “chance of at least one hit”, “calculate at least one success probability”, “find chance of at least one success”.
Formula
Variables
- p — Probability per trial
- n — Number of trials
Worked example
With probability per trial = 0.1, number of trials = 10, the calculator gives chance of at least one success ≈ 65.13216 %; chance of no success ≈ 34.86784 %.
Frequently asked questions
What is the at least one success probability calculator used for?
Find the chance of at least one success in several independent tries. It helps with questions such as “at least one success probability”, “repeated tries chance”, “chance of at least one hit”.
What is the formula for the at least one success probability calculation?
Chance of at least one success (%) = 100 × (1-(1-p)^n). Chance of no success (%) = 100-[Chance of at least one success]. Here p is probability per trial, n is number of trials.
What inputs do I need for the at least one success probability calculator?
You need probability per trial, number of trials. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the at least one success probability calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the at least one success probability result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.