I don't see a question, but the expected value
E = 3(3/34) + 2(10/34) - 1(21/34) = 4/17 = $0.24
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.
2 answers
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?