Final answer:
The expected value of this coin flip is $1.
Step-by-step explanation:
The expected value of a coin flip can be calculated by multiplying the value of each outcome by its probability and summing these values. In this case, the coin landing heads up has a probability of 1/2 and a value of $8, while the coin landing tails up has a probability of 1/2 and a value of -$6.
Therefore, the expected value is (1/2 * $8) + (1/2 * -$6) = $4 - $3 = $1.