Moe plays a simplified version of powerball: you either win the entire jackpot of $200,000,000 or you lose the cost to play (i.e., $2). The probability of winning powerball is 1 out of 292,201,338 (the probability of losing is thus 1-1/292,201,338). What is the expected value of playing this version of powerball?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
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Moe plays a simplified version of powerball: you either win the entire jackpot of $200,000,000 or you lose the cost to play (i.e., $2). The probability of winning powerball is 1 out of 292,201,338 (the probability of losing is thus 1-1/292,201,338).

What is the expected value of playing this version of powerball?
 
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