Two dice are thrown write the sample space for this experiment. Describe the following events. Event A : The sum of the number on the dice is divisible by 4. Event B : The sum of the numbers on the dice is divisible by 3. Event C: The sum of the numbers is less than 7. Event D: Both the numbers on the dice are even.

Two dice are thrown write the sample space for this experiment. Descri

1.	Two dice are thrown write the sample space for this experiment. Describe the following events. Event A : The sum of the number on the dice is divisible by 4. Event B : The sum of the numbers on the dice is divisible by 3. Event C: The sum of the numbers is less than 7. Event D: Both the numbers on the dice are even.
Answer» ANSWER :`S={{:(x,y):{:(x=1,2,3,4,5,6),(y=1,2,3,4,5,6):}}` `A = {(1, 3) (2, 2) (2, 6) (3, 1) (3,5) (4, 4) (5, 3) (6, 2) (6, 6)}` `B = {(1, 2) (1,5) (2, 1) (2, 4) (3, 3) (3, 6) (4, 2)(4, 5) (5, 1) (5, 4) (6, 3) (6, 6)}` `C = {(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (2, 1) (2, 2)(2, 3) (2, 4) (3, 1) (3, 2) (3, 3) (4, 1) (4, 2)(5, 1)}` `D = {(2, 2) (2, 4) (2, 6) (4, 2) (4, 4) (4, 6) (6, 2)(6, 4) (6, 6)}`