In a game involving a fair coin, each toss is an independent event with a fixed 50% probability of landing on heads or tails. If the coin lands on heads 10 times in a row, a person committing the Gambler's Fallacy might incorrectly conclude that the next flip is highly likely to be tails because a tails outcome is "due." This reasoning is mathematically flawed because the coin has no memory of previous flips.