🪙Consecutive Coin Flip Probability

Compute the probability of n consecutive heads, tails, or same-side outcomes from coin flips.

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Consecutive Coin Flip Probability Guide

The Consecutive Coin Flip Probability Calculator finds the chance of getting the same outcome n times in a row when flipping a coin. It supports two modes — a specific side (heads or tails) n times consecutively, or any matching side n times consecutively — and works with biased coins where heads probability is not 50%.

For a fair coin, a specific side n times in a row has probability (1/2)^n, and any matching side has probability (1/2)^(n-1). For example, 10 heads in a row occurs with probability 1/1024 ≈ 0.098%, or about once every 1,024 attempts.

Each flip is independent, so a streak of past results never alters the next flip's odds (the gambler's fallacy). Use this tool for probability learning, betting decisions, and game design analysis.

Frequently Asked Questions

What's the formula for n consecutive heads?

P = (1/2)^n. For n=10, that is 1/1024 ≈ 0.098%.

Any same side n times in a row?

2 × (1/2)^n = (1/2)^(n-1).

After 9 heads, is tails more likely next?

No — each flip is independent (gambler's fallacy). The 10th flip remains 50/50.