The host of a TV show offers you a chance to pick one of four boxes. Three are empty, one contains $1 000. If you pick an empty box, you can pay $250 for a second pick from the remaining three boxes. If you pick another empty box, you can pay $500 for a third pick from the two remaining boxes. If you pick wrong a third time, you are out of the game. What is your expected gain (or loss)from playing this game?
A)$250
B)$310
C)$330
D)$350
E)$500

Question

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The Answer of The host of a TV show offers you a chance to pick one of four boxes. Three are empty, one contains $1 000. If you pick an empty box, you can pay $250 for a second pick from the remaining three boxes. If you pick another empty box, you can pay $500 for a third pick from the two remaining boxes. If you pick wrong a third time, you are out of the game. What is your expected gain (or loss)from playing this game?
A)$250
B)$310
C)$330
D)$350
E)$500

The Host of a TV Show Offers You a Chance