Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?

The difference ranges from −5 to 5. Each possible difference has the same probability as its opposite: for example, a difference of 2 occurs in as many rolls as a difference of −2. The outcomes therefore form a distribution symmetric around 0, so the best description is symmetric.

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