Find the exact probability of getting a specific number of heads in a series of fair coin flips.
This is a classic binomial probability problem: each flip has two equally likely outcomes, and this calculator finds how many of the total possible sequences produce exactly the number of heads you specify.
Probability (%) = (C(n, k) ÷ 2^n) × 100, where n = number of flips, k = number of heads, and C(n, k) is the binomial coefficient ("n choose k").
Flipping a coin 10 times, the probability of getting exactly 5 heads is 24.61% - the single most likely outcome, though still less than a coin flip's own 50/50 odds.
For a fair coin, each flip has a 50% chance of heads or tails; for multiple flips, probabilities of specific sequences or counts use the binomial probability formula.
(0.5)^5 = 3.125%, since each flip is an independent event with a 50% chance.
No — each flip is statistically independent. Getting several heads in a row doesn't change the odds of the next flip, a common misconception known as the gambler's fallacy.