Two dice are rolled, write the sample space 'S' and number of
sample points n(S). Also write events and number of sample points
in the event according to the given condition
Digit on the upper face of the first die is less than the digit on the second die .

Answer

`{:(S=,"{(1,),(1,2),(1,3),(1,4),(1,5),(1,6),"),(,"(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),"),(,"(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),"),(,"(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),"),(,"(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),"),(,"(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36"):}`
H = { (1,2), (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6), (4,5), (4,6), (5,6)}, n(H) = 15