In: Statistics and Probability
Sam the gambler offers you an opportunity to play one of several games in which a 10-sided die is rolled. If an 8 or 9 or 10 is rolled on the die, you win money. Otherwise you pay money. Here are the gains and losses for the possible games. Game 1 win-$70 lose-$30 Game 2 win-$30 lose-$70 Game 3 win-$50 lose-$20
1. Calculate the Expected Value for each of the three games.
2. Which game should you play?
3. Which game should neither you nor Sam bother playing for money?