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The problem in the image asks us to calculate the probability that the sum of the points on two dice equals four.

### Steps to solve:

1. **Total outcomes when rolling two dice**: 
   Each die has 6 faces, so the total number of outcomes when rolling two dice is:
   \[
   6 \times 6 = 36
   \]

2. **Favorable outcomes**: 
   To find the favorable outcomes where the sum of the two dice equals 4, we need to list the possible pairs of dice rolls that give a sum of 4:
   - (1, 3)
   - (2, 2)
   - (3, 1)
   
   So there are 3 favorable outcomes.

3. **Probability**: 
   The probability of the sum being 4 is the ratio of favorable outcomes to total outcomes:
   \[
   P(\text{sum of 4}) = \frac{3}{36} = \frac{1}{12}
   \]

Thus, the probability that the sum of the two dice is 4 is \( \frac{1}{12} \), which corresponds to option **d)** in the problem.

Would you like more details, or have any questions?

### Related Questions:
1. What is the probability of rolling a sum of 7 with two dice?
2. How many outcomes give a sum of 10 when rolling two dice?
3. What is the probability of getting doubles when rolling two dice?
4. How does the probability change if a die has 8 faces instead of 6?
5. How many ways can you roll a sum of 6 with two dice?

### Tip:
When calculating probabilities for dice rolls, it helps to list out all possible outcomes (like pairs of numbers) to clearly identify favorable cases.

Se lanzan dos dados. Utiliza los teoremas combinatorios para determinar el número de puntos muestrales y asígnales probabilidades a cada uno, calcula la probabilidad de que la suma de los puntos que aparecen en los dados sea igual a cuatro.

Learn how to calculate the probability that the sum of two dice equals 4. This problem involves key concepts of probability and combinatorics, using the formula 'favorable outcomes / total outcomes'. Suitable for students in Grades 6-8.

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