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Coin Flip Probability Calculator Math

Coin Flip Probability Formula:

\[ P = \frac{1}{2^n} \]

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1. What is Coin Flip Probability?

The probability of getting all heads or all tails in a series of fair coin flips follows a simple mathematical formula. This calculator helps determine that exact probability.

2. How Does the Calculator Work?

The calculator uses the probability formula:

\[ P = \frac{1}{2^n} \]

Where:

Explanation: Each flip has a 1/2 chance, and consecutive flips multiply these probabilities together.

3. Importance of Probability Calculation

Details: Understanding probability helps in statistics, decision making, and predicting outcomes in games of chance.

4. Using the Calculator

Tips: Enter the number of consecutive coin flips (1-100). The calculator will show the probability of getting all heads or all tails.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for biased coins?
A: No, this formula only applies to fair coins with exactly 50/50 probability.

Q2: What if I want probability of specific patterns?
A: Different patterns require different calculations. This only calculates all heads or all tails.

Q3: Why does probability decrease with more flips?
A: Each additional flip halves the probability, as the chances multiply together.

Q4: What's the probability for 10 flips?
A: 1 in 1024 (0.09765625%) chance of all heads or all tails.

Q5: Can this be applied to dice rolls?
A: Similar principles apply, but the base probability would be 1/6 for standard dice.

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