The expected value of the sum of two numbers obtained when two fair dice are rolled is ______.

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KollegeApply · Accepted Answer

The expected value of the sum of two numbers obtained when two fair dice are rolled is 7. Explanation: When rolling two fair six-sided dice, the possible sums range from 2 to 12. The expected value (mean) is calculated as: E(X) = sum xP (x) Using probabilities of each sum, the expected value is: E(X) = $\frac{252}{36}$ = 7 Thus, the expected sum of two dice rolls is 7.

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