Henry Ernest Dudeney/Modern Puzzles/205 - The Three Dice

Modern Puzzles by Henry Ernest Dudeney: $205$

The Three Dice

Mason and Jackson were playing with three dice.

The player won whenever the numbers thrown added up to one of the two numbers he selected at the beginning of the game.

As a matter of fact, Mason selected $7$ and $13$, and one of his winning throws was $6$, $4$, $3$.

What were his chances of winning a throw?

And what two other numbers should Jackson have selected for his own throws to make his chances of winning exactly equal?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Puzzle Games: $205$. -- The Three Dice
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Game Puzzles: $474$. The Three Dice