1. What is Coin Flip Probability?

The probability of getting a specific sequence of outcomes (like all heads or all tails) in consecutive coin flips. For a fair coin, each flip has a 50% chance of heads or tails.

2. How Does the Calculator Work?

The calculator uses the probability formula:

Where:

• \( P \) — Probability of the sequence (0 to 1)
• \( n \) — Number of consecutive flips

Explanation: Each additional flip in the sequence multiplies the probability by 0.5 (50%).

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 identical outcomes you want to calculate the probability for (e.g., 5 heads in a row).

5. Frequently Asked Questions (FAQ)

Q1: Does this work for biased coins?
A: No, this formula assumes a fair coin (50/50 probability). For biased coins, use \( P = p^n \) where p is the probability of your desired outcome.

Q2: What's the probability of 10 heads in a row?
A: \( (0.5)^{10} = 0.0009765625 \) or about 0.0977%.

Q3: Does past flips affect future probabilities?
A: No, each flip is independent (Gambler's Fallacy). After 9 heads, the next flip still has 50% chance of heads.

Q4: How to calculate probability of exact sequences?
A: The same formula works. For example, HTHT has probability \( (0.5)^4 = 0.0625 \).

Q5: What about at least n heads?
A: That requires binomial probability: \( \sum_{k=n}^{m} C(m,k) \times (0.5)^m \) where m is total flips.