What is the success rate of the whole group if success is defined as a person correctly stating the color of their own hat?

In the classic hat‑guessing puzzle with two colors, a strategy can guarantee that all but one person guesses correctly. The first person uses a parity rule (e.g., says "red" if the number of red hats in front is even, otherwise says "blue"). Each subsequent person, hearing the previous guesses and seeing the hats ahead, can deduce their own color. Thus 99 out of 100 people are correct, giving a success rate of 99%. The only person who may be wrong is the first, because they have no information about their own hat.