A die is thrown, find the probability of following events: (iii) A number less than or equal to one will appear, (iv) A number more than will appear,

The possible outcomes when a die is thrown are and .

Then the sample space is,

(iii) A number less than or equal to one will appear,

Suppose be the event of getting a number less than or equal to ,

So,

Therefore, .

(iv) A number more than will appear,

Suppose be the event of getting a number more than , then the sample space is

So,

Therefore, .