Multiple choice

Akash and Swapnil throw unbiased dices together. What is the probability that the sum of the numbers on the faces of the dices thrown by them is 8?

  1. 1/12

  2. 5/36

  3. 1/18

  4. 3/19

  5. 1/16
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B Correct answer
Explanation

Total outcomes = 6 * 6 = 36. Favorable outcomes for sum 8: (2,6), (3,5), (4,4), (5,3), (6,2). There are 5 outcomes. Probability = 5/36.

AI explanation

When two unbiased dice are thrown together, the total number of possible outcomes in the sample space is 6 times 6, or 36. The favorable outcomes where the sum of the numbers is 8 are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Using the classical probability formula, the required probability is 5/36.

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