Encoding sequence of unfair coin flips

1. How do you convert unfair coins to fair coins?
2. What is the entropy of tossing a fair coin?
3. Is a coin flip unfair?
4. Is there a bias in coin flip?

How do you convert unfair coins to fair coins?

Simply flip the coin twice. If it comes up heads both times or tails both times, then flip it twice again. Eventually, you'll get two different flips — either a heads and then a tails, or a tails and then a heads, with each of these two cases equally likely.

What is the entropy of tossing a fair coin?

The entropy is zero: each toss of the coin delivers no new information as the outcome of each coin toss is always certain.

Is a coin flip unfair?

When we talk about a coin toss, we think of it as unbiased: with probability one-half it comes up heads, and with probability one-half it comes up tails. An ideal unbiased coin might not correctly model a real coin, which could be biased slightly one way or another. After all, real life is rarely fair.

Is there a bias in coin flip?

Coin tosses can be biased only if the coin is allowed to bounce or be spun rather than simply flipped in the air.