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CFA Level 1
Quantitative Methods

Expected Value of a Die Roll

Very Easy Probability Concepts Expected Value And Variance

A fair six-sided die is rolled once. The outcomes of the die can be represented numerically as 1, 2, 3, 4, 5, and 6. To find the expected value of the roll, we use the formula for expected value:

$$E(X) = rac{ ext{Sum of all possible outcomes} imes ext{Probability of each outcome}}$$

Given that each outcome has an equal likelihood of occurring, what is the expected value of rolling the die?

Hint

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