Please help me I can not figure out question

Question

A bag contains 3 gold marbles, 9 silver marbles, and 25 black marbles. Someone offers to play this game: You randomly select one 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.

Answer 1

3+9+25 = 37

chance of gold is 3/37

chance of silver = 9/37

chance of black = 25/37

the expected value of playing this game = a weighted average of the winnings (or losses) multiplied by the odds of winning: (3/37)3 + (9/37)2 + (25/37054)(-1) = 9/37 + 18/37 - 25/37 = 27/37 -25/37 = 2/37 = about 0.054 winnings = $0.054 = 5.4 cents

You will win 5.4 cents each time you play this game, on average.

but the mode is on black. You're more likely to lose (25/37)(-1) about 68 cents on your first time to play

but if you stick it out, and play enough times, you'll average 5.4 cents a game