Solution:

When a die is thrown, the possible outcomes are 1,2,3,4,5,6.

So Sample space = { 1,2,3,4,5,6}

Number of possible outcomes = 6

Even numbers are (2,4,6).

Number of favourable outcomes = 3

(i)Probability that the number is even,

= 3/6

= 1/2

Hence the required probability is 1/2.

(ii)When the number is greater than 2, the possible outcomes are 3,4,5,6

Number of favourable outcomes = 4

Probability that the number is greater than 2 ,

= 4/6

= 2/3

Hence the required probability is 2/3.