A sample space 5 consists 1 to 30 positive integers. Event A Ai shows the elementary divisible by i. Write the elements of the events A_(2),A_(3),A_(4),A_(5). Veify the truthless of following statements. (1)A_(2) and A_(3) are mutually exclusive events. (2) A_(4) is a subset of A_(2). (3) A_(3),A_(4) and A_(5) are not mutually exclusive.

A sample space 5 consists 1 to 30 positive integers. Event A Ai shows

1.	A sample space 5 consists 1 to 30 positive integers. Event A Ai shows the elementary divisible by i. Write the elements of the events A_(2),A_(3),A_(4),A_(5). Veify the truthless of following statements. (1)A_(2) and A_(3) are mutually exclusive events. (2) A_(4) is a subset of A_(2). (3) A_(3),A_(4) and A_(5) are not mutually exclusive.
Answer» Answer :`A_(2) = {2, 4, 6, ........, 30}` `A_(3)={3,6,9,......,30}` `A_(4)={4,8,12,......28}` `A_(5)={5,10,15,......30}` False(2) TRUE (3)False