There are two players. Each player has 3 marbles in a sack. The first player draws some marbles from the sack without showing them to the other. Then the second player bets some marbles on whether the number of marbles in the opponent's hand is odd or even. The second player wins the bet from the first player if the guess was correct. Otherwise, the first player wins the bet from the second. Fill in the payoff matrix of the game:
| bet 1 marble on odd | bet 2 marbles on odd | bet 3 marbles on odd | bet 1 marble on even | bet 2 marbles on even | bet 3 marbles on even | |
|---|---|---|---|---|---|---|
| draw an odd number of marbles | ||||||
| draw an even number of marbles |
Give an answer using the following template:
0 0 0 0 0 0
0 0 0 0 0 0