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TS EAMCET · Maths · Probability

When 2 dice are thrown, it is observed that the sum of the numbers appeared on the top faces of both the dice is a prime number. Then the probability of having a multiple of 3 among the pair of numbers thus obtained is

  1. A \(\frac{8}{15}\)
  2. B \(\frac{11}{36}\)
  3. C \(\frac{5}{9}\)
  4. D \(\frac{5}{12}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{8}{15}\)

Step-by-step Solution

Detailed explanation

Sum of numbers can be \(2,3,5,7,11\). Multiples of 3 are 3 and 6. Sum of numbers such that 3 or 6 appears on top among the pair of numbers can be \(5,7,11\).…