Henry Ernest Dudeney/Modern Puzzles/204 - Turning the Die
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Modern Puzzles by Henry Ernest Dudeney: $204$
- Turning the Die
- This is played with a single die.
- The first player calls any number he chooses, from $1$ to $6$, and the second player throws the die at hazard.
- Then they take it in turns to roll over the die in any direction they choose, but never giving it more than a quarter turn.
- The score increases as they proceed, and the player wins who manages to score $25$ or forces his opponent to score beyond $25$.
- I will give an example game.
- Player $A$ calls $6$, and $B$ happens to throw $3$, making the score $9$.
- Now $A$ decides to turn up $1$, scoring $10$;
- $B$ turns up $3$, scoring $13$;
- $A$ turns up $6$, scoring $19$;
- $B$ turns up $3$, scoring $22$;
- $A$ turns up $1$, scoring $23$;
- and $B$ turns up $2$, scoring $25$ and winning.
- What call should $A$ make in order to have the best chance at winning?
- Remember that the numbers on opposite sides of a correct die always sum to $7$, that is, $1 - 6$, $2 - 5$, $3 - 4$.
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Puzzle Games: $204$. -- Turning the Die
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Game Puzzles: $473$. Turning the Die