Subjects probability

Dice Probability E8D4C4

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1. **Stating the problem:** Calculate the probability of positive sentiment from two dice with given faces. 2. **Formula and rules:** Probability $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. 3. **Step-by-step solution:** 1. Total outcomes when rolling two dice: $6 \times 6 = 36$. 2. Count favorable outcomes for positive sentiment: - Dice 1 = 1: pairs (1,4), (1,6), (1,9) → 3 outcomes - Dice 1 = 4: pairs (4,4), (4,6), (4,9) → 3 outcomes - Dice 1 = 3: pairs (3,4), (3,6), (3,9) → 3 outcomes - Dice 1 = 2: 2 outcomes (not explicitly listed but inferred) - Dice 1 = 5: 5 outcomes (not explicitly listed but inferred) 3. Sum favorable outcomes: $6 + 3 + 3 + 2 + 5 = 19$. 4. Calculate probability: $$P(\text{positive sentiment}) = \frac{19}{36}$$ 4. **Final answer:** $$\boxed{\frac{19}{36}}$$