Answer 1

The  number of possible outcomes is `6xx6=36`,  We write them as given below:  

1,11,21,,31,41,51,6 

2,12,22,32,42,52,6

3,13,23,33,43,53,6  

4,14,24,34,44,54,6 

5,15,25,35,45,55,6 

6,16,26,36,46,56,6 

n(s)=36  

E= Event of getting a number less than 3 on eacch dice 

={(1,1))(1,2)(2,1)(2,2)} 

n(E)= 

Probability of getting a number less than 3 on each dice = `(n(E))/(n(s))=4/36=1/9 `