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Probability Question: The Four Digit Number
Difficulty Level

A four digit number has all non zero different even digits. What is the probability that first three digits are in increasing order.

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First we will find total numbers that can be formed using digits 2,4,6,8. they are 4!=24
As first three digits should be in increasing order thus the following four combinations are favourable:
2468
2486
2684
4682
Probability = Favourable Outcomes / Total Outcomes
So the Probability that first three digits of the number are in increasing order = 4/24 = 1/6

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