SOLUTION: You get to roll a standard die one time. If you roll an odd number, you win $3. If you roll a 4, you win $5. If you roll any other number, you lose $9. Find the expected value f

Algebra ->  Probability-and-statistics -> SOLUTION: You get to roll a standard die one time. If you roll an odd number, you win $3. If you roll a 4, you win $5. If you roll any other number, you lose $9. Find the expected value f      Log On


   



Question 1193244: You get to roll a standard die one time. If you roll an odd number, you win $3. If you roll a 4, you win $5. If you roll any other number, you lose $9.
Find the expected value for this game.

Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
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You get to roll a standard die one time. If you roll an odd number, you win $3.
If you roll a 4, you win $5. If you roll any other number, you lose $9.
Find the expected value for this game.
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The expected value of this game is

    E =  = %283+%2B+5+-+4%2A9%29%2F6 = -28%2F6 = - 4 2%2F3.


It means that playing this game many times, the player loses 4.67 dollars per game, in average.

Solved, answered and explained.