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TS EAMCET · Maths · Probability

When a pair of six faced fair dice are thrown, the probability that the sum of the numbers on the two dice is greater than 7 , is

  1. A \(\frac{1}{3}\)
  2. B \(\frac{5}{12}\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{1}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{5}{12}\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} \text { Total outcomes } & =36 \\ \text { Favorable outcomes } & =(\text { sum greater than } 7)=15 \\ \therefore \quad \text { Required probability } & =\frac{15}{36}=\frac{5}{12} \end{aligned} \]