The expected value on playing this game is -5/36.
Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
To find: Expected value on playing the game
Chance of occurrence of gold = 1/36
Chance of occurrence of silver = 9/36
Chance of occurrence of black = 26/36
On multiplying the given probability of occurence with the amount you would lose or win
we get,
1/36 * 3 + 9/36 * 2 - 26/36 * 1
3/36 + 18/36 - 26/36
=$ -5/36
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