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A fair 6-sided die is rolled. If the roll is even, then you win that amount of dollars (so that, for example, if you roll 4, then you win $4). If the roll is odd, you win nothing. What is the expected value of your winnings? Express your answer as a dollar value.

 Apr 26, 2015

Best Answer 

 #1
avatar+128406 
+8

I'm not great at these, Mellie....so Alan or Melody might correct my answer if it's incorrect, but anyway.....

The expected value  = (Amount won) x (probability of winning that amount)

So we have

($2)(1/6) + ($4)(1/6) + ($6)(1/6)  =

(1/6) ($2 + $4 + $6)  =

(1/6) ($12)  =

$2

 

  

 Apr 26, 2015
 #1
avatar+128406 
+8
Best Answer

I'm not great at these, Mellie....so Alan or Melody might correct my answer if it's incorrect, but anyway.....

The expected value  = (Amount won) x (probability of winning that amount)

So we have

($2)(1/6) + ($4)(1/6) + ($6)(1/6)  =

(1/6) ($2 + $4 + $6)  =

(1/6) ($12)  =

$2

 

  

CPhill Apr 26, 2015

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