Answer:
$0
Step-by-step explanation:
There are two possible outcomes for this experiment:
-there is a 1 in 6 chance of you winning $30.
-there is a 5 in 6 chance of you losing $30.
The expected value of this game is given by the sum of the products of each outcome by their respective likelihood:
[tex]E(X) = \$30*\frac{1}{6}- \$6*\frac{5}{6}\\E(X) = \$0[/tex]
The expected value of this game is $0, which means the game is fair.
