Who has the advantage in the 1-11 game to reach 56?

  • MHB
  • Thread starter Ackbach
  • Start date
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    2016
In summary, the 1-11 game involves two individuals or teams competing to reach a score of 56 first. The objective is to reach this score before the opponent, using strategic moves and accurate calculations. Factors that can give a player an advantage include understanding the rules, quick calculations, and a strong memory. While there is no set pattern or strategy to win, some players may develop their own techniques. The duration of a game can vary, but on average it takes 10-30 minutes to finish.
  • #1
Ackbach
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MHB
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Here is this week's POTW:

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Two players play the following game. The first player selects any integer from 1 to 11 inclusive. The second player adds any positive integer from 1 to 11 inclusive to the number selected by the first player. They continue in this manner alternately. The player who reaches 56 wins the game. Which player has the advantage?

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  • #2
Congratulations to Kiwi, kaliprasad, and Fallen Angel for their correct solutions! Kiwi's solution follows:

Player 1 always wins by following this sequence:

Player 1 plays 8
Player 2 plays 1-11 bringing the total to 9-19
Player 1 brings the total to 20
Player 2 plays 1-11 bringing the total to 21-31
Player 1 brings the total to 32
Player 2 plays 1-11 bringing the total to 33-43
Player 1 brings the total to 44
Player 2 plays 1-11 bringing the total to 45-55
Player 1 brings the total to 56 and wins
 

FAQ: Who has the advantage in the 1-11 game to reach 56?

Who are the players in the 1-11 game?

The players in the 1-11 game are usually two individuals or two teams competing against each other to reach a score of 56 first.

What is the objective of the 1-11 game?

The objective of the 1-11 game is to reach a score of 56 before the opponent does. This can be achieved by strategic moves and counting points correctly.

What gives a player an advantage in the 1-11 game?

There are a few factors that can give a player an advantage in the 1-11 game. These include having a good understanding of the game rules, being able to make quick and accurate calculations, and having a strong memory.

Is there a specific pattern or strategy to win the 1-11 game?

While there is no specific pattern or strategy to win the 1-11 game, some players may develop their own techniques based on their strengths and weaknesses. However, luck and chance also play a significant role in this game.

How long does it typically take to finish a game of 1-11?

The duration of a game of 1-11 can vary depending on the players' skills and strategies. On average, it can take anywhere from 10-30 minutes to finish a game.

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