🎲 Dice: Two Dice – Probability of a Sum of 7
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Task:
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When two dice are rolled simultaneously, calculate the probability that the sum of the dice is exactly 7.
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Step-by-step Solution:
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- Determine possible pairs: The pairs \(1,6\), \(2,5\), \(3,4\), \(4,3\), \(5,2\), \(6,1\) yield a sum of 7.
- Number of favorable outcomes: There are 6 favorable combinations.
- Total number of possible outcomes: Each die has 6 sides → 6 × 6 = 36 possible combinations.
- Calculate probability: 6 favorable cases / 36 total cases = \( \frac{1}{6} \).
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Answer:
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The probability of rolling a sum of 7 with two dice is 1/6.
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