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TS EAMCET · Maths · Probability

Six faces of an unbiased die are numbered with \(2,3,5,7,11\) and 13 . If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is

  1. A \(\frac{5}{18}\)
  2. B \(\frac{5}{36}\)
  3. C \(\frac{13}{18}\)
  4. D \(\frac{25}{36}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{5}{18}\)

Step-by-step Solution

Detailed explanation

The sum of two numbered on a dice is odd only, whence once is odd and second is even. \(\therefore\) Required probability \(=2 \times\) Probability of odd number \(\times\) Probability of even number [ \(\because\) Here, we multiply by 2 because either the even number is on…