1)You get 1,2,3,4,5
2)You get 2,3,4,5,6
Without loss of generality the probability is the same in both problems.
If you are trying to get: 1,2,3,4,5.
So the probablity in that order is,
Multipled by the number of ways you can get these arrangements which is
Now the probablity of: 2,3,4,5,6
Thus, the total probability is,