expected value

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 26E
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A card game in a carnival has the following rules of winning: You will win 300 if you draw a jack or a queen; You will win 400 if you draw a king; You will win 500 if you draw an ace from an ordinary deck of 52 playing cards; If you draw any other card, you lose. How much should you pay to play if the game is fair? What expected value should you assume in order to solve this problem? Why? please answer this step by step and justify your solution. Thank you so much
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