1. In a football match between the teams "Zubilo" and "Shayba," bets on the victory of "Zubilo" were accepted at 1 to 2 (meaning the bookmaker would pay out twice as much as the bet if "Zubilo" won), and on the victory of "Shayba" at 1 to 3. Volka managed to place a bet, knowing that he would definitely get back exactly what he bet, regardless of the game's outcome. What was the proportion of bets accepted for a draw?
Solution. Let Volya bet $2x$ on "Shayba", then his bet on "Zubilo" is $3x$. Since he will receive $6x$ in any case, his bet on a draw is $x$, thus the coefficient for a draw is 1 to 6.