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]

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

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