# Math

A bag contains 3 gold marbles, 10 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select on marble from the bag. If it is gold, you win \$3. If it is silver, you win \$2. If it is black, you lose \$1.

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1. I don't see a question, but the expected value

E = 3(3/34) + 2(10/34) - 1(21/34) = 4/17 = \$0.24

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2. A bag contains 4 gold marbles, 10 silver marbles, and 29 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win \$4, if it is silver, you win \$3. If it costs \$1 to play, what is your expected profit or loss if you play this game?

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