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

Algebra ->  Permutations -> 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      Log On


   

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) About Me  (Show Source):
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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 highlight%280%29