Construct the discrete probability distribution which corresponds to the experiment of the single roll of a pair of dice. Assume equal likelihood of occurrence of each side of a die and let the random variable X equal the sum of the doss which appear on the pair.

The probability distribution for the sum of two dice rolls is as follows: | Sum \( X \) | Probability \( P(X) \) | |-------------|-------------------------| | 2 | \( \frac{1}{36} \) | | 3 | \( \frac{1}{18} \) | | 4 | \( \frac{1}{12} \) | | 5 | \( \frac{1}{9} \) | | 6 | \( \frac{5}{36} \) | | 7 | \( \frac{1}{6} \) | | 8 | \( \frac{5}{36} \) | | 9 | \( \frac{1}{9} \) | | 10 | \( \frac{1}{12} \) | | 11 | \( \frac{1}{18} \) | | 12 | \( \frac{1}{36} \) |