SOLUTION: Chris is playing a game with his father with a six-sided die. What is the expected value per roll that Chris will get if his father agrees to give him $2 multiplied by every even n

Question 1180212: Chris is playing a game with his father with a six-sided die. What is the expected value per roll that Chris will get if his father agrees to give him $2 multiplied by every even number rolled and $1 multiplied by every odd number rolled?
a. $1.50
b. $4.50
c. $5.50
d. $10.50
e. $12.00
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Multiply the value of each outcome by its probability and add all those products.

The probability of each number coming up on the die is 1/6.

  outcome  value  probability  product
 --------------------------------------
    1        1      1/6        1/6
    2        4      1/6        4/6
    3        3      1/6        3/6
    4        8      1/6        8/6
    5        5      1/6        5/6
    6       12      1/6       12/6
                             ------
             expected value:  33/6 = 5.5

ANSWER: c. $5.50

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