SOLUTION: A bag contains 3 gold marbles, 7 silver marbles, and 22 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5,

Algebra ->  Probability-and-statistics -> SOLUTION: A bag contains 3 gold marbles, 7 silver marbles, and 22 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5,      Log On


   



Question 1147885: A bag contains 3 gold marbles, 7 silver marbles, and 22 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, 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?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

The expected profit is  


    -1 + 5%2A%283%2F%283%2B7%2B22%29%29 + 3%2A%287%2F%283%2B7%2B22%29%29 = -1 + 15%2F32 + 21%2F32 = -1 + 36%2F32 = 4%2F32 = 1%2F8 of a dollar.    ANSWER

Solved.