On this site you'll find lots of logic puzzles and riddles, puzzling riddles,
science puzzles and math puzzles and riddles.

Answers and detailed solutions are included.

Do you know other nice brain teasers, riddles or puzzles that should be on the site?
If that's the case, send a message to pzzls!

Rat race - math puzzle of the day

Difficulty:

Rating: 2.5/5.0

Share this pzzl:

On the yearly fair you can play as often as you like the game "rat race". In this game a rat is freed at the beginning of a circuit. The rat will then run to hole A, B or C, every hole with equal chance. Before the rat is freed, you can bet any amount you like on the hole the rat will run into. If you choose the right hole, you'll get back twice the amount you've put a stake. If you're wrong you loose your money.

Suppose you carry an infinite amount of money. Will you in that case always loose money playing this game, or does there exist a strategy to win money. Does this strategy also work in the more realistic situation when you carry a limited amount of money or if there is a maximum limit on the bet?