First to 2 wins
Run independent flips until Heads or Tails wins twice. A series lasts two or three flips.
First to 2 wins
A best-of-three format creates a short match with visible progress and reduces how often one single flip is the whole experience.
The match stops as soon as one side reaches 2 wins, so it can finish before all3 possible flips are used.
With independent unbiased flips, Heads and Tails still have equal probability of winning the complete series. More rounds do not make the random source intrinsically fairer and do not remove normal streaks.