Flip 100 coins at once
Flip a hundred coins in one click and count the heads. The total lands near 50 almost every time, but landing on exactly 50 is rarer than you might think.
Flip 1 to 100 fair coins at once.
Why 100 coins almost always land near 50
Flip a hundred fair coins and the number of heads follows a bell curve centered on 50, with a spread (standard deviation) of 5. In plain terms, the count lands between 45 and 55 heads about 73% of the time, and between 40 and 60 heads about 96% of the time. Getting 60 or more heads happens less than 3% of the time, and a result far outside that range is genuinely surprising rather than just unlucky.
| Number of heads | Roughly how often |
|---|---|
| Exactly 50 | About 8% (1 in 12.5) |
| 45 to 55 | About 73% |
| 40 to 60 | About 96% |
| 60 or more | Under 3% |
The law of large numbers, on screen
This is the law of large numbers in action. As you add coins, the proportion of heads squeezes closer to 50%, which is why 100 coins rarely stray far from half. But there is a twist that trips people up: the raw gap between heads and tails tends to grow, not shrink. Ten coins might land 7-3 (a 40-point proportion gap); a hundred coins almost never land 70-30. The percentage converges while the exact count still wanders within its widening band.
Exactly 50 is the single most likely result, and still uncommon
Fifty heads is the most likely single outcome, yet it only shows up about once every twelve or thirteen throws, because it is competing with 49, 51, and every other nearby count that all feel like “about half.” This is a common source of confusion: most likely does not mean likely. Flip a few rounds here and watch the running average of heads settle toward 50.0 even as no single round lands exactly there.
Frequently asked questions
What are the odds of getting exactly 50 heads out of 100?
About 8%, or roughly 1 in 12.5. Fifty is the single most likely count, but it still loses out to the combined chance of every nearby result like 48, 49, 51, and 52.
Is it normal to get 60 heads out of 100 coin flips?
It is uncommon but not impossible: 60 or more heads happens under 3% of the time. Anything from about 40 to 60 heads is well within normal range.
Will 100 coin flips always come out close to 50/50?
The proportion usually does, landing between 45 and 55 heads about 73% of the time. The exact count still varies, and that spread is exactly what randomness looks like.
More coin flips
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