If you roll 5 six-sided dice, what is the expected value for the sum of the numbers rolled?
If you roll a six-sided die, the expected value for the number rolled is
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The expected value of one die roll is 6 1 + 2 + 3 + 4 + 5 + 6 = 3 . 5 . Then the expected sum of five die rolls is 5 ⋅ 3 . 5 = 1 7 . 5 .