A four-digit number is formed by the digits 1, 2, 3,4 with no repetition. The probability that the number is odd, is

Given numbers are 1, 2, 3 and 4.Possibilities for unit's place digit (either 1 or 3) = 2Possibilities for ten's place digit =3Possibilities for hundreds place digit = 2Possibilities for thousand's place digit = 1.'. Number of favorable outcomes = 2 x 3 x 2 x 1 = 12Number of numbers formed by 1, 2, 3, 4(without repetition) = 4!.'. Required probability =124×3×2=12