Binomial Calculator
Binomial probabilities and cumulative counts.
P(X = k)
0.117188
Introduction
Find P(X = k) and cumulative binomial probabilities given n trials and success probability p. Models coin flips, pass/fail batches, and yes/no surveys. Use The Daily Tools' Binomial Calculator for private, browser-based processing — no account or server upload required.
What is Binomial Calculator?
Binomial Calculator helps you binomial probabilities and cumulative counts. It belongs to the Probability group within statistics tools on The Daily Tools. Enter your values and review the result with the assumptions shown on the page.
Definition: Binomial Calculator is a free, browser-based calculator for binomial probabilities and cumulative counts.
Formula
P(X = k) = C(n,k) × p^k × (1−p)^(n−k)
Calculation steps
- The core formula: P(X = k) = C(n,k) × p^k × (1−p)^(n−k)
- Enter your values in the fields above — units and assumptions are under your control.
- The Daily Tools computes the result instantly in your browser using JavaScript.
- Review the result panel for the primary output and supporting breakdown values.
Worked example
Example: Using the Binomial Calculator
Inputs: Enter values relevant to probability — for example, the measurements or amounts described in the tool fields above.
- Open the Binomial Calculator and review the input fields.
- Apply the formula: P(X = k) = C(n,k) × p^k × (1−p)^(n−k)
- Adjust inputs to compare scenarios side by side.
You receive an immediate binomial probabilities and cumulative counts — useful for planning and comparison.
Use cases
- Working through a probability question with clear inputs
- Comparing inputs in the Binomial Calculator
- Using a focused tool instead of a general spreadsheet or manual calculation
Advantages
- Browser-based processing — entered values and selected files are not sent to our servers
- No account required
- Instant results with a clean, readable interface
- Transparent formula shown on this page
Limitations
- Results are estimates and do not replace professional advice
- Results are not saved by this tool after you leave or refresh the page
Frequently asked questions
- Is the Binomial Calculator free to use?
- Yes. Binomial Calculator on The Daily Tools is completely free, requires no account, and runs entirely in your browser.
- Does The Daily Tools store my inputs?
- No. Your numbers and text never leave your device. The Daily Tools has no backend database for calculator inputs.
- Who should use the Binomial Calculator?
- Anyone who needs a clear statistics calculation and wants to check the assumptions used.
- How accurate is the Binomial Calculator?
- Results follow the standard formula shown on this page. They are estimates for planning — not a substitute for professional advice.
- Can I use the Binomial Calculator on mobile?
- Yes. The Daily Tools is fully responsive and works on phones, tablets, and desktops.
Sources & references
Key points
- Binomial Calculator is a free, browser-based calculator for binomial probabilities and cumulative counts.
- Formula: P(X = k) = C(n,k) × p^k × (1−p)^(n−k)
- Private, browser-only processing
- Private, browser-based processing