Question 1174957
given digits are 2,3,4,5,6
 to make an even number, unit place digit must be filled by either 2, 4 or 6
total numbers formed by keeping 2 at unit place = 4! = 4x3x2x1 = 24
similarly numbers formed by keeping 4 at unit place = 24
and numbers formed by keeping 6 at unit place = 24
 total even numbers = 24=24+24 = 72

total number of ways by arranging the digits = 5! = 5x4x3x2x1 = 120

Henc, Probability of an even number = 72/120 = 3/5