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Free Binomial Distribution Probability Calculator (P(X = k), P(X ≤ k)) Online

Calculate exact binomial probability P(X = k), cumulative probability P(X ≤ k), expected mean μ = np, and variance for n independent trials. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Enter Number of Trials (n)

Input total trials count.

2

Enter Success Probability (p)

Input chance of success on a single trial (0 to 1).

3

Enter Successes (k)

Input target success count.

4

Review Probability Table

View exact P(X = k), cumulative P(X ≤ k), and P(X ≥ k).

Frequently Asked Questions

P(X = k) = (n choose k) × p^k × (1 - p)^(n - k).

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