Discover the exact probability of achieving a certain number of heads or tails in multiple coin flips. Our free Coin Toss Probability Calculator uses the binomial distribution formula to give you instant, accurate results, helping you understand the odds of your next flip series. Perfect for students, gamers, or anyone curious about chance!
Formula:
Formula for Coin Toss Probability (Binomial Distribution)
The probability of getting exactly k heads in n tosses is given by:
P(X=k) = C(n, k) * (0.5)n
Where:
- P(X=k) = Probability of getting exactly k successful outcomes (e.g., heads)
- C(n, k) = The number of combinations ("n choose k"), calculated as n! / (k! * (n-k)!)
- n = Total number of coin tosses
- k = Desired number of heads (or tails)
- 0.5 = Probability of getting a head (or tail) in a single toss (for a fair coin)