You go to Atlantic City and bet 5 on the number 4 at the rou
You go to Atlantic City and bet $5 on the number 4 at the roulette wheel. Your chance of winning is 2.63%. If you win, you will get $180 ($175 plus your $5 bet back). What is your expected value for this bet?
Solution
Consider the table:      
       
 x   P(x)   x P(x)
 -5   0.9737   -4.8685
 175   0.0263   4.6025
       
 Total       -0.266
        =E(x)
       
 Thus,      
       
 E(x) =    $-0.266   [ANSWER]

