Dice Game

By John Toczek


Figure 1: Which die would you choose?

Figure 1 shows four dice with varying numbers on each face. You and three friends will play a simple game where you will each roll one of the dice and the highest number wins. You get first pick from the dice.


Which die should you choose in order to maximize your chance of winning?

Send your answer to by Feb. 15, 2012. The winner, chosen randomly from correct answers, will receive an “O.R.: The Science of Better” T-shirt. Congratulations to John Hernandez for correctly solving August’s Logical Hospital PuzzlOR. Past questions can be found at

John Toczek is the manager of Decision Support and Analytics for ARAMARK Corporation in the Global Risk Management group. He earned a bachelor’s degree in chemical engineering at Drexel University (1996) and a master’s degree in operations research from Virginia Commonwealth University (2005).