$\begin{aligned} & {\left[\begin{array}{l}\text { Games and jokes }\end{array}\right]} \\ & {[\text { Evenness and oddness }]}\end{aligned}$

On the board, there are 10 ones and 10 twos. In one move, it is allowed to erase any two digits and, if they were the same, write a two, and if they were different - a one. If the last remaining digit on the board is a one, the first player wins; if it is a two, the second player wins.
The parity of the number of ones on the board does not change after each move. Since there was an even number of ones at the beginning, after the last move, there cannot be one (an odd number!) one left on the board.

## Answer

Second.