$\underline{\text { Fomin S. }}$.

Two people toss a coin: one tossed it 10 times, the other - 11 times.

What is the probability that the second person got heads more times than the first?
The events "the second one got more heads than the first" and "the second one got more tails than the first" are obviously equally probable. But they also complement each other (since the second one flipped the coin exactly one more time than the first, either the number of heads or the number of tails is greater, but not both at the same time). Therefore, the probability of each event is $1 / 2$.

## Answer