تخطى إلى المحتوى الرئيسي

رمي العملة

Sometimes you just need a fair 50/50 random decision. Our coin flipper provides cryptographically-seeded randomness (not pseudorandom), supports multi-flip sequences for probability demos, lets you flip biased coins (custom probabilities), and tracks heads/tails streaks for statistics education.

صورة

كتابة

شارك هذه الأداة
Fun & Games

حول Coin Flip Simulator

Sometimes you just need a fair 50/50 random decision. Our coin flipper provides cryptographically-seeded randomness (not pseudorandom), supports multi-flip sequences for probability demos, lets you flip biased coins (custom probabilities), and tracks heads/tails streaks for statistics education.

كيفية الاستخدام

  1. Click "Flip" for a single coin flip.
  2. Enter a number to flip multiple coins at once (up to 10,000).
  3. Set a custom probability for a biased coin experiment.
  4. View the running tally, longest streak, and probability distribution chart.

الصيغة والمنهجية

Fair coin: P(heads) = P(tails) = 0.5. Expected runs in n flips: (n+1)/2 ≈ n/2. Probability of k heads in n flips: C(n,k) × 0.5^n (binomial distribution). Expected longest streak in n flips: log₂(n) ≈ 10 heads in a row in 1,000 flips is not unusual. Law of large numbers: as n→∞, proportion→0.5.

حالات الاستخدام الشائعة

  • Decision-making: tie-breaking between two equal options
  • Probability education: demonstrating the law of large numbers
  • Gamble simulations: seeing how streaks and variance play out over many flips
  • Sports: virtual coin toss for kickoff, batting order, or possession
  • Fair assignment: randomly assigning tasks, teams, or roles

الأسئلة الشائعة

Physical coins are very close to 50/50 but not perfectly so. Stanford researchers found that coins land on the same side they started on about 51% of the time due to slight wobble during the flip. Heads/tails bias due to design weight is negligible (0.01% at most). Digital coin flippers using cryptographic random number generators are closer to true 50/50 than physical coins.
No — this is the gambler's fallacy. Each flip is independent; the coin has no memory. The probability of tails on the 11th flip is still 50%. However, the probability of 10 heads in a row occurring at all is 1/1024 ≈ 0.1% — which makes you question whether the coin is fair. If you see 10 heads in a row on a real coin, statistically suspect bias; but the next individual flip is still 50/50.

أدوات ذات صلة

كل الأدوات →
Fun

Decision Maker
Fun

Typing Speed Test
Fun

Lottery Number Generator
Fun

Username Generator
Fun

Cat Age Calculator
Fun

Team Name Generator

دمج هذه الأداة في موقعك

مجاني للاستخدام الشخصي والتجاري. فقط انسخ الكود أدناه.