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

Step-by-step solution

The sum of two numbered on a dice is odd only, whence once is odd and second is even. Required probability =2 Probability of odd number Probability of even number [ Here, we multiply by 2 because either the even number is on first or second dice.] =2 ( 5 6 ) ( 1 6 )= 5 18