What is the probability of rolling a sum of either 7 or 11 when throwing two fair dice simultaneously?

Answer and explanation

Correct answer: A. 2 / 9

  1. Step 1: Outcomes with sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) [6 outcomes].
  2. Step 2: Outcomes with sum 11: (5,6), (6,5) [2 outcomes].
  3. Step 3: Total favorable = 6 + 2 = 8 out of 36 outcomes.
  4. Step 4: Probability = 8 / 36 = 2 / 9.

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