Matthews Zimmerman
03/22/2024 · Primary School
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.
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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 | \( \frac{1}{36} \) |
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