A game show contestant is offered the option of receiving a computer system worth ​$2300 or accepting a chance to win either a luxury vacation worth ​$4300 or a boat worth ​$7800. If the second option is chosen the​ contestant's probabilities of winning the vacation or the boat are 0.20 and​ 0.15, respectively. If the contestant were to turn down the computer system and go for one of the other​ prizes, what would be the expected​ winnings? The expected winnings are ___________

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A game show contestant is offered the option of receiving a computer system worth ​$2300 or accepting a chance to win either a luxury vacation worth ​$4300 or a boat worth ​$7800. If the second option is chosen the​ contestant's probabilities of winning the vacation or the boat are 0.20 and​ 0.15, respectively. If the contestant were to turn down the computer system and go for one of the other​ prizes, what would be the expected​ winnings?

The expected winnings are ___________

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