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Coin Flip Probability Calculator

Math
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Calculates probabilities for various outcomes of multiple coin flips (e.g., exactly k heads).

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Number of Coin Flips and Number of Heads (k) in the units shown.

Step 2

Read Probability of At Most k Heads, Probability of At Least k Heads, and Probability of Exactly k Heads in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

10 Flips, 5 Heads

Number of Coin Flips: 10; Number of Heads (k): 5

Probability of At Most k Heads: 1.243397993 %; Probability of At Least k Heads: 1.243397993 %; Probability of Exactly k Heads: 1.243397993 %

5 Flips, 2 Heads

Number of Coin Flips: 5; Number of Heads (k): 2

Probability of At Most k Heads: 0.165011845 %; Probability of At Least k Heads: 0.165011845 %; Probability of Exactly k Heads: 0.165011845 %

20 Flips, 10 Heads

Number of Coin Flips: 20; Number of Heads (k): 10

Probability of At Most k Heads: 9.947183943 %; Probability of At Least k Heads: 9.947183943 %; Probability of Exactly k Heads: 9.947183943 %

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