To find the probability that the sum of two rolled dice equals 12, we will assume that each dye has 6 sides (a standard die). Here's the step-by-step solution:

1. Possible Outcomes

• When rolling two dice, each die has 6 faces, giving a total of $6 \times 6 = 36$ possible outcomes.

2. Favorable Outcomes

• The only way to get a sum of 12 is when both dice show a 6. So, there is only 1 favorable outcome: (6, 6).

3. Probability Calculation

The probability is the ratio of favorable outcomes to the total possible outcomes: $P(\text{sum} = 12) = \frac{1}{36}$

Thus, the probability that the sum of the two dice is 12 is $\frac{1}{36}$.

Would you like more details on dice probability? Or do you have any other questions?

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Here are 5 related questions to further explore this topic:

1. What is the probability of rolling a sum of 7 with two dice?
2. How many outcomes result in a sum greater than 10?
3. What is the probability of rolling a sum of 2 with two dice?
4. How would the probability change if each die had 8 sides instead of 6?
5. How do you calculate the expected sum when rolling two dice?

Tip: Always count the total possible outcomes carefully, especially when dice or coins differ in number of sides.