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

`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)}`