SOLUTION: An urn contains six red balls, five white balls, and four black balls. Three balls are drawn from the urn at random without replacement. For each red ball drawn, you win $8, and fo

Question 984114: An urn contains six red balls, five white balls, and four black balls. Three 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.
E(X) =
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
An urn contains six red balls, five white balls, and four black balls. Three 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.
E(X) =
Solution:
Use the hypergeometric distribution to compute the probabilities.
probability = where r+w+b = 3

The expected net winnings is

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