Coin Flip Odds Calculator

Coin Flip Probability:

\[ P(\text{Heads}) = \frac{1}{2} \quad \text{or} \quad 50\% \] \[ P(\text{Tails}) = \frac{1}{2} \quad \text{or} \quad 50\% \]

Probability:

Odds:

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1. What is Coin Flip Probability?

The probability of getting heads or tails in a fair coin flip is always 50% for each outcome. When flipping multiple times, the probability of getting all heads, all tails, or any specific sequence can be calculated.

2. How Does the Calculator Work?

The calculator uses probability theory formulas:

\[ P(\text{Specific Outcome}) = \left(\frac{1}{2}\right)^n \] \[ P(\text{All Same}) = \left(\frac{1}{2}\right)^{n-1} \]

Where:

\( n \) — Number of coin flips
\( \frac{1}{2} \) — Probability of heads or tails in a fair coin

Explanation: Each flip is an independent event, so the probabilities multiply for multiple flips.

3. Understanding Coin Flip Odds

Details: Odds represent the ratio of success to failure. For example, 1:1 odds mean equal chance, while 1:3 means one success expected for every three failures.

4. Using the Calculator

Tips: Enter number of flips (1-1000) and select desired outcome (heads, tails, or all same). The calculator shows probability and odds.

5. Frequently Asked Questions (FAQ)

Q1: What are the odds of getting 5 heads in a row?
A: The probability is 3.125% (1/32) with odds of 1:31.

Q2: Is a coin flip really 50/50?
A: For a fair coin, yes. In reality, slight imperfections might create tiny biases (typically 49/51 at most).

Q3: What's the probability of getting at least one head in 3 flips?
A: 87.5% (1 - probability of all tails = 1 - 1/8).

Q4: Does previous flip affect the next one?
A: No, each flip is independent (gambler's fallacy is wrong).

Q5: How many flips needed for 99% chance of at least one head?
A: 7 flips (1 - (1/2)^7 = 99.22%).