Q83 / 160 · TS EAMCET 2004 · Mathematics

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

  • Correct answer
    A
    $\frac{5}{18}$
  • B
    $\frac{5}{36}$
  • C
    $\frac{13}{18}$
  • D
    $\frac{25}{36}$

Solution

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 first or second dice.] $$ =2 \times\left(\frac{5}{6}\right) \times\left(\frac{1}{6}\right)=\frac{5}{18} $$

Hence, the correct answer is option: 'A'.

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