What is the probability of rolling a sum of 7 with two dice?

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Question: What is the probability of rolling a sum of 7 with two dice?

Options:

Correct Answer: 5/36

Solution:

Possible combinations for sum of 7 = (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6.

What is the probability of rolling a sum of 7 with two dice?

What is the probability of rolling a sum of 7 with two dice?

Step 1: Understand that we are rolling two dice, each die has 6 sides.
Step 2: Calculate the total number of possible outcomes when rolling two dice. This is 6 (from the first die) multiplied by 6 (from the second die), which equals 36.
Step 3: Identify the combinations of the two dice that add up to 7. These combinations are: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Step 4: Count the number of combinations that give a sum of 7. There are 6 combinations.
Step 5: Calculate the probability of rolling a sum of 7. This is the number of successful outcomes (6) divided by the total outcomes (36).
Step 6: Simplify the fraction 6/36 to get 1/6.

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