An urn contains six red balls, five white balls, and four black balls. Four balls are drawn from the urn at random without replacement.

An urn contains six red balls, five white balls, and four black balls. Four balls are drawn from the urn at random without replacement. For each red ball drawn, you win $8, and for each black ball drawn, you lose $12. Let X represent your net winnings.

Compute E(X), your expected net winnings.