You cannot check out 159.
159 is a bogey number. There is no combination of three darts that adds up to 159 and ends on a double, so it cannot be finished from the throw however well you throw it.
Why 159 cannot be done
A finish has to end on a double, and you only have three darts. The most you can score with the first two is 120, treble 20 twice, which would leave 39 for the last dart, and 39 is not a double. Every other pair of darts leaves something that is not a double either. That is the whole reason a bogey number exists.
The seven bogey numbers
There are only seven scores between 2 and 170 you cannot finish from:
169, 168, 166, 165, 163, 162 and 159. Anything else up to 170 has a finish, and the checkout chart has all of them.
What to do when you are left on 159
Score, and leave yourself something you can finish. Treble 20 takes 159 down to 99, which is a finish. Getting the leave right is what separates a player who checks out from one who does not.
Nearby finishes
How to check out 158 · How to check out 160
Everything from 2 to 170 is on the full checkout chart, and the checkout trainer drills them until you stop having to work them out.
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