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.Jack decides to play the first game,and Kate decides to play the second game as described in the scenario.The expected value of the payoff:
A) is higher for Jack than for Kate.
B) is lower for Jack than for Kate.
C) is the same in both games, because there's only one red marble.
D) is higher in the second game because half the marbles entail a payback of at least what she pays to play the game.

Question

Quizplus · Accepted Answer

The Answer of 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.Jack decides to play the first game,and Kate decides to play the second game as described in the scenario.The expected value of the payoff:
A) is higher for Jack than for Kate.
B) is lower for Jack than for Kate.
C) is the same in both games, because there's only one red marble.
D) is higher in the second game because half the marbles entail a payback of at least what she pays to play the game.

Suppose Jack and Kate Are at the Town Fair and Are