Flip once to settle something, or flip hundreds of times to watch the ratio drift towards 50/50 as the count grows. Results, counts and the full sequence are shown, which makes it a convenient demonstration of the law of large numbers as well as a way to make a decision.
In 100 flips, a run of six or seven identical results is more likely than not. People asked to fake a random sequence almost never write runs that long, which is how statisticians spot invented data. A streak is not evidence that the coin is loaded or that the next flip is "due" to differ - each flip is independent and knows nothing about the last one.
The proportion of heads converges on 50% as flips accumulate, but the absolute difference between heads and tails tends to grow. After a million flips you would expect to be around 500 flips away from an exact split, even though the ratio is within a fraction of a percent. Flip a thousand times below and watch both happen.
Yes. Each flip is an independent draw with a 50% chance of each outcome, taken from your browser's cryptographic random source. Runs of five or six identical results are entirely normal and do not mean the next flip is any more likely to differ.
Steuervergleich Kanton Zürich — Gemeindesteuern vergleichen (Deutsch)