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Two perfect dice are thrown together, Determine the probability of obtaining a total score of…

Two perfect dice are thrown together, Determine the probability of obtaining a total score of 8
  • A.
    (frac{1}{12})
  • B.
    (frac{5}{36})
  • C.
    (frac{1}{6})
  • D.
    (frac{7}{36})
Correct Answer: Option B
Explanation

(begin{array}{c|c} & & 1 & 2 & 3 & 4 & 5 & 6 \ hline a & 1 & 1, 1 & 1, 2 & 1, 3 & 1, 4 & 1, 5 & 1, 6\hline & 2 & 1,1 & 2, 2 & 2, 3 & 2, 4 & 2, 5 & 2, 6 \hline B & 3 & 3, 1 & 3, 2 & 3, 3 & 3, 4 & 3, 5 & 3, 6\hline & 4 & 4 , 1 & 4, 2 & 4, 3 & 4, 4 & 4, 5 & 4, 6\hline Die & 5 & 5, 1 & 5, 2 & 5, 3 & 5, 4 & 5, 5 & 5, 6 \hline & 6 & 6, 1 & 6, 2 & 6, 3 & 6, 4 & 6, 5 & 6, 6end{array})
Probability of obtaining total score of 8 = (frac{5}{36})