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Lets break down the problem into 3 parts:Find out the total number of 3 digit numbers that can be formed using the digits 0, 2, 4, 6 and 8.Find out the total number of 3 digit numbers formed from 0, 2, 4, 6 and 8 that have all the digits same.Now, that we have 1 and 2, we can find the probability.For 1,The Hundredth place can have any digit out of 2, 4, 6 and 8. So, 4 ways. (We exclude 0 because having 0 at this place would cause the number to be a 2 digit number )The Tens’ place can select digits in 5 ways. ( We include 0)Similarly, the Ones’ place can have digits in 5 ways.So, the number of ways in which we can form a 3 digit number is 4*5*5 = 100.For 2,We only have 4 numbers where all the digits are same.They are 222, 444 , 666, 888.For 3,Favourable cases : 4Total Sample space : 100Probability = 4/100 = 0.04 which is your answer.Hope I could make it clear !

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