Question 540488
Suppose you roll a 6 sided die. If you roll a 1 you earn $2, if you roll a 4 you earn $4, any other number you pay $1. How much money should you expect to earn on average. 
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"On average" is just another term for "expected value".
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Random earning numbers: 2 , 4, -1
Matching probabilities: 1/6, 1/6, 4/6
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Multiply each random value by its probability and add the 3 products
to get the expected value or average.
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Cheers,
Stan H.