If a number is chosen at random from out of the four digited numbers formed by using the digits 0,1,2,3,4,6 without repetition, then the probability that it is divisible by 4 , is

Step-by-step solution

If the number divisible by 4 using digits 0,1 , 2,3,4,6 unit place digit is even. Case I. If unit digit is 0 , then tens place possible digits is 2,4,6 Possible outcome =4 3 3=36 Case II. If unit digit is 2 , then tens place digits are 1 and 3 Possible outcomes =3 3 2=18 Case III. If unit digit is 4 , then tens digits are 0,2 and 6 . (a) If tens digit 0 Possible ways =4 3=12 (b) If tens digit not zero, i.e. (2 and 6) Possible ways =3 3 2=18 So, required ways, if unit digit is 4=18+12=30 . Case IV. If unit digit is