A simple card game is as follows. P1 pays a stake of 1 to play. P1 and P2 then each draw a card. If.

A
simple card game is as follows. P1 pays a stake of 1 to play. P1 and P2 then
each draw a card. If both cards are the same color, P2 keeps the stake and the
game ends. If they are different colors, P2 pays P1 the stake and 1 extra (a
total of 2).

(a)
What is the expected value of the game to P1?

(b)
P2 modifies the game, as follows. If both cards are court cards (that is,
knave, queen, king), then P2 keeps the stake and the game ends; otherwise, the
game works as before. Now what is the expected value of the game to P1?

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