Suppose you play a game with a gambler. You bet $1 on number 3, and the gambler rolls a die. If the outcome is 3 you win $6 and and quit the game. Otherwise you loose $1 and play the game second time, and now you bet $2 on 3. If you win you get $9 and quit, otherwise you loose $2 and play the game third time and bet $3 on number 3. If the outcome is 3 you win $12 and quit, otherwise you loose $3 and quit. Let X be your winnings. Compute EX. Should you play this game?