Respuesta :
The expected value for the given experiment is:
E = -0.5
How to get the expected value?
For an experiment with the possible events {x₁, x₂, ..., xₙ}, each with the correspondent probability {p₁, p₂, ..., pₙ}, the expected value is defined as:
E = x₁*p₁ + ... + xₙ*pₙ
In this case, all the probabilities are equal to 1/6 (assuming that the dice is fair), then we have:
E = (1/6)*(1 - 2 + 3 - 4 + 5 - 6) = (1/6)*(-3) = -0.5
We conclude that the expected value for the experiment is -0.5
If you want to learn more about expected values:
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