$(-0.25) or (-25)cents is the expected value if we play this game.
Number of gold marbles = 2
Number of silver marbles = 8
Number of black marbles = 32
Total number of marbles = 40
chance of gold = 2/40
chance of silver = 8/40
chance of black = 32/40
the expected value of playing this game = a weighted average of the winnings (or losses) multiplied by the odds of winning = (2/40)×3 + (8/40)×2 + (32/40)×(-1) = $(-0.25)
Negative sign indicates the loss.
Thus, we can conclude that the expected value if we play this game is $(-0.25) or (-25)cents .
To know more about Probability refer to the link:
https://brainly.com/question/24756209
#SPJ4