This is a probability problem involving the roll of two dice. Here's the solution:

Step 1: Understand the question

We are rolling two dice, and the goal is to calculate the probability of their sum equaling 7.

Step 2: Total outcomes

Each die has 6 faces, soI apologize, but I didn't receive any input to address. Could you please provide more details or specify your question? I'm here to assist you with any mathematical queries or problems you may have.

thereIf you're looking for resources are to practice math ( problems,6 \ here are some options:

times1. 6 = 36\MathPapa:) Offers total practice problems to possible outcomes when two dice improve are math reasoning and rolled.

arithmetic skills. citeturn0search0

2. Paul's Online### Math Notes: Provides practice problems for Algebra, Calculus I, II, III, and Differential Equations. citeturn0search **Step1

3. ** Math103**: Favorable outcomes:** To get A collection of mathematics a problems sum with of 7 answers, we need and to consider solutions all combinations of numbers. on the two dice that add up to 7:

4. (1 + cite6turn0search = 2

5. Khan Academy: Features over 100,000 free practice questions covering topics from arithmetic to calculus. \cite) 2.turn0search3 (

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Please let me know how I can assist you further. + 5 = 7) 3. $3 + 4 = 7$ 4. $4 + 3 = 7$ 5. $5 + 2 = 7$ 6. $6 + 1 = 7$

There are 6 favorable outcomes.

Step 4: Probability formula

The probability is given by: $P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ $P = \frac{6}{36} = \frac{1}{6}$

Final Answer:

$\text{Probability} = \frac{1}{6}$

Let me know if you need further clarification or additional details!

Here are 5 related questions to expand your understanding:

1. What is the probability of rolling a sum of 8 with two dice?
2. How many outcomes result in rolling an even number on both dice?
3. If one die is biased, how would the probability of rolling a 7 change?
4. What is the probability of rolling doubles (e.g., $1+1, 2+2$) with two dice?
5. Can the probability of rolling any given sum (e.g., 2 to 12) be represented in a graph? How would the probabilities vary?

Tip:

When solving probability problems, listing all possible outcomes in a systematic way is crucial for accuracy. Use tables or diagrams to avoid missing any combinations!