This is a simple game that my roomate told me of and that we are still wondering about. The game has two players, A and B, and goes as follows:

- Player A rolls a die which returns a random number between 0 and 1.
- Player B cannot see the die.
- Player A then tells a number between 0 and 1 to player B.
- Player B can either roll to beat the number Player A just said, or Player B can challenge Player A meaning if Player A was telling the truth about what he rolled, Player A wins. Otherwise player B wins.

Two questions:

- What is the optimal strategy, if one exists.
- What is player A's edge? 2) is easily answered once 1) has been.

Sumit Kapur