help me to solve linear equations
Squid game
Answers
Answer:
Two players each get n=10 marbles. Every alternating turn, one player (say, the player whose turn it is) hides an amount of own marbles in fist, and, the other player must guess if hidden amount is odd or even, and, that other player (i.e., the player whose turn it is not) also must bet an amount of own marbles. If guess is right, the player whose turn it is gives (as much as possible) the amount of bet marbles to opponent. If guess is wrong, the player whose turn it is takes the amount of bet marbles from opponent. Next, the turn now alternates to the other player. The game stops when one player has all 2n=20 marbles.
The losing player gets killed (in the series, that is).
Which strategies for both players (perhaps one strategy for the one who gets first turn, and one strategy for the other player) give maximal probabilities to win (and to not get killed).
We must assume both players know the starting conditions and are perfect mathematicians and logicians.
Answer:
Two players each get n = 10 marbles. Every alternating turn, one player (say, the player whose turn it is) hides an amount of own marbles in fist, and, the other player must guess if hidden amount is odd or even, and, that other player (i.e... the player whose turn it is not) also must bet an amount of own marbles. If guess is right, the player whose turn it is gives (as much as possible) the amount of bet marbles to opponent. If guess is wrong. the player whose turn it is takes the amount of bet marbles from opponent. Next, the turn now alternates to the other player. The game stops when one player has all 2n = 20 marbles.
The losing player gets killed (in the series, that is).
Which strategies for both players (perhaps one strategy for the one who gets first turn, and one strategy for the other player) give maximal probabilities to win (and to not get killed).
We must assume both players know the starting conditions and are perfect mathematicians and logicians.
Step-by-step explanation:
hope it helps