Multiple choice

Three six faced dice are thrown together .The probability that the sum of the numbers appearing on the dice is 8 is ;

  1. 7/72

  2. 7/57

  3. 4/27

  4. None of these
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A Correct answer
Explanation

Total outcomes = 6^3 = 216. Sum of 8: (1,1,6)x3, (1,2,5)x6, (1,3,4)x6, (2,2,4)x3, (2,3,3)x3. Total favorable = 3+6+6+3+3 = 21. Probability = 21/216 = 7/72.

AI explanation

Using the fundamental principle of counting, the total number of possible outcomes when three six-faced dice are thrown is 6 times 6 times 6, which equals 216. The number of favorable outcomes where the sum is exactly 8 is 21. Therefore, the required probability is 21 divided by 216, which simplifies to 7/72.

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