Suppose Jack and Kate are at the town fair and are choosing which game to play.The first game has a bag with four marbles in it-1 red marble and 3 blue ones.The player draws one marble from the bag; if it is red,they win $20 and if it is blue,they win $1.The second game has a bag with 10 marbles in it-1 red,4 blue,and 5 green.The player draws one marble from the bag; if it is red,they win $20; if it is blue,they win $5; and if it is green,they win $1.Both games cost $5 to play.Assume Jack will play the games that have a higher expected payoff than the cost of playing the game.Comparing the expected value of the payoff of each game to the price of $5 to play,we can conclude that Jack should:
A) play the second but not the first.
B) play neither.
C) play the first but not the second.
D) play both.
Correct Answer:
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