# Puzzles

## Twenty-one

Scott and Virgil are playing a game. In the game the first player says 1, 2 or 3, then the next player can add 1, 2 or 3 to the number and so on. The player who is forced to say 21 or above loses. The first game went like so:

Scott: 3

Virgil: 4

Scott: 5

Virgil: 6

Scott: 9

Virgil: 12

Scott: 15

Virgil 17

Scott: 20

Virgil: 21

Virgil loses.

To give him a better chance of winning, Scott lets Virgil choose whether to go first or second in the next game. What should Virgil do?

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXVI,

puzzles about games, or a random puzzle.

puzzles about games, or a random puzzle.