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?
The detailed solution is given in the pictures below.
Please go through them carefully specially the notations.
Hope the solution helps. Thank you.