Coin Flip Probability Calculator

The Coin Flip Probability Calculator accurately computes the probability of getting exactly k heads in n coin flips using the binomial distribution formula C(n,k) × (0.5)^n, where n is the number of flips, k is the desired number of heads, and C(n,k) is the binomial coefficient. For example, the probability of getting exactly 3 heads in 5 flips is C(5,3) × (0.5)^5 = 10 × 0.03125 = 31.25%.

The tool automatically displays a complete probability distribution table from 0 to n heads with your selected outcome highlighted for easy comparison. Supporting up to 100 flips with real-time result updates, you can intuitively understand the shape of the binomial distribution and quickly compare multiple scenarios. This makes it ideal for studying and understanding probability theory in-depth.

Perfect for probability and statistics education, fair decision-making analysis with coin tosses, expected value calculations in games and gambling, and verification in scientific experiments. All computations run entirely in your browser with no data sent to any server, ensuring complete privacy.