Answer
$S=${(0,1),(0,2),(0,3),(0,4),(1,0),(1,2),(1,3),(1,4),(2,0),(2,1),(2,3),(2,4),(3,0),(3,1),(3,2),(3,4),(4,0),(4,1),(4,2),(4,3)}
$E=${(1,0),(2,0),(2,1),(3,0),(3,1),(3,2),(4,0),(4,1),(4,2),(4,3)}
Work Step by Step
A sequence of two different digits is randomly chosen from the digit 0-4
The sample space is:
$S=${(0,1),(0,2),(0,3),(0,4),(1,0),(1,2),(1,3),(1,4),(2,0),(2,1),(2,3),(2,4),(3,0),(3,1),(3,2),(3,4),(4,0),(4,1),(4,2),(4,3)}
The first digit is larger than the second:
$E=${(1,0),(2,0),(2,1),(3,0),(3,1),(3,2),(4,0),(4,1),(4,2),(4,3)}