Flip a Coin 10 Times
Toss 10 fair coins simultaneously or sequentially. View exact mathematical binomial probabilities and distribution breakdowns.
Complete Binomial Probability Distribution for 10 Coin Flips
Calculated using P(X = k) = C(10, k) · (0.5)10 across all k values from 0 to 10:
| Heads Count (k) | Combinations C(10, k) | Exact Probability | Percentage |
|---|---|---|---|
| 0 Heads | 1 | 1 / 1,024 | 0.0977% |
| 1 Head | 10 | 10 / 1,024 | 0.9766% |
| 2 Heads | 45 | 45 / 1,024 | 4.3945% |
| 3 Heads | 120 | 120 / 1,024 | 11.7188% |
| 4 Heads | 210 | 210 / 1,024 | 20.5078% |
| 5 Heads (Peak) | 252 | 252 / 1,024 | 24.6094% |
| 6 Heads | 210 | 210 / 1,024 | 20.5078% |
| 7 Heads | 120 | 120 / 1,024 | 11.7188% |
| 8 Heads | 45 | 45 / 1,024 | 4.3945% |
| 9 Heads | 10 | 10 / 1,024 | 0.9766% |
| 10 Heads | 1 | 1 / 1,024 | 0.0977% |
Explore Higher-Order Sequential & Multi-Coin Silos
Scale up your probability experiments with our 100 coin toss generator or explore high-speed convergence on the 1 million flips simulator. For simultaneous multi-coin physics, visit the flip 10 coins at once sandbox.
Frequently Asked Questions
What is the probability of getting 5 Heads and 5 Tails in 10 flips?
The probability of obtaining exactly 5 heads in 10 tosses is C(10, 5) * (0.5)^10 = 252 / 1024 = 24.609%. While 5 heads is the single most likely specific outcome, it still happens less than 1 in 4 times.
How many total possible outcomes exist for 10 coin flips?
There are 2^10 = 1,024 distinct permutations possible when flipping a coin 10 times.
What is the probability of getting 10 heads in a row?
The probability of 10 consecutive heads is (0.5)^10 = 1 / 1,024 = 0.0976% (roughly 1 in 1,024 attempts).