If a number is chosen at random from out of the four-digit 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

We have to form four-digit number from the digits 0 ,   1 ,   2 ,   3 ,   4 ,   6 without repetition such that the number is divisible by 4 . Now, total number of four-digits number formed from 0 ,   1 ,   2 ,   3 ,   4 ,   6 is = 5 × 5 × 4 × 3 = 300 Now, we will form the four-digit number such that it is divisible by 4 . Then, last two digits must be divisible by 4 . Now, possible choices for last two digits are 04 ,   12 ,   16 ,   20