When a pair of balanced dice are rolled and the sum of the numbers showing face up is computed, the result can be number from 2 to 12, inclusive. What is the expected value of the sum?
To find the expected value of the sum.
A pair of dice is rolled and the sum computed can be from inclusive.
When a pair of dice rolled and the sum computed can be from , all the combinations will lead to the sum desired.
So total sample space .
and all possible sums will be from .
Therefore the expected value of the sum of the numbers on the balls =
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