What is the probability that any one of the four numbers 0, 1, 2 and 3 is even?

What is the probability that any one of the four numbers 0, 1, 2 and 3 is even?

1. Take a number: 0,2,1,3
2. Take two numbers:
When the last bit is 0, there are three kinds
When the last position is 1, 2 and 3, there are two kinds
3. Take three numbers:
When the last bit is 0, there are 6 kinds
When the last position is 1, 2 and 3, there are 4 kinds of them
4. Take four numbers:
When the last bit is 0, there are 6 kinds
When the last position is 1, 2 and 3, there are 4 kinds of them
So the probability that any number is even is 27 / 49