FlipACoinLabCSPRNG Precision Suite

Flip a Coin 3 Times

Simulate 3 sequential or simultaneous coin flips. Determine Best of 3 dispute winners and explore the complete 8-outcome sample space.

Number of Coins:
HEADS:1(50.0%)
Deviation: 0.0%
TAILS:1(50.0%)
Permutation String:H, T
Binary Decision Tree

3-Flip Combinatorial Decision Tree & Tournament Paths

3-Coin Best of Three Combinatorial Decision Tree showing all 8 paths and 50% majority resolution
📊8-state binary decision tree ($2^3 = 8$) highlighting the 4 majority Heads-win branches and 4 majority Tails-win branches (12.5% each).

The 8 Permutations of 3 Coin Flips ($2^3 = 8$)

Every sequential toss generates one of eight equally likely outcomes, each with a probability of $P = 1/8 = 12.50\%$:

HHH3 Heads (12.5%)
HHT2 Heads, 1 Tail (12.5%)
HTH2 Heads, 1 Tail (12.5%)
THH2 Heads, 1 Tail (12.5%)
HTT1 Head, 2 Tails (12.5%)
THT1 Head, 2 Tails (12.5%)
TTH1 Head, 2 Tails (12.5%)
TTT0 Heads, 3 Tails (12.5%)
Probability of Exactly 2 Heads:3/8 (37.5%)
Probability of At Least 2 Heads (Best of 3 Win):4/8 (50.0%)

Explore Higher-Order Sequential & Multi-Coin Silos

Need larger sample sizes for statistical simulations or esports tournaments? Use our 100 coin toss generator to simulate large Bernoulli batches or return to the 3D core coin flipper for individual custom tosses.

Flip a Coin 5 Times →Flip a Coin 10 Times →100 Coin Toss Generator (Pillar) →Binomial Probability Calculator →

Frequently Asked Questions

What are all 8 possible outcomes when flipping a coin 3 times?

Because each flip has 2 possible states, 3 sequential flips generate 2^3 = 8 distinct permutations: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. Each individual 3-flip sequence has an exact 1/8 (12.50%) theoretical probability.

What is the probability of winning a 'Best of 3' coin toss?

In a best 2 out of 3 contest, you must win at least 2 flips. There are 4 winning sequences (HHH, HHT, HTH, THH) out of 8 total possibilities. Therefore, the probability of winning a best of 3 series is exactly 4/8 = 50.00%.

Is 'Best of 3' fairer than a single coin flip?

Mathematically, both a single flip and a Best of 3 series have an exact 50.0% theoretical probability of winning. However, Best of 3 reduces the psychological feeling of abruptness in high-stakes dispute resolution.