If you are just starting out with backgammon, you may wonder what to do with your opening roll.
The moves are standard and easy to remember. Most opening rolls are played the same way by almost everyone.
So let's cover the "obvious" rolls first. These are rolls that make an inner home board point, or make the bar point (the point on the bar outside the homeboard)
These rolls are 3-1, 4-2, 5-3, 6-1 . Play these by making the point that they point on.
3-1 make your "golden" point (5 pt) 8/5 6/5
4-2 make your 4 pt (8/4 6/4)
5-3 make your 3 pt
6-1 make your bar point
These are all great opening rolls and they get you started strong.
But wait.. what about 6-4, can't we make our 2pt with it?
Yes we can, but it is not normally the optimal play. Your 2 pt is deep and when making your home board points, you generally want to work in from the outer points. There is, however, a particular circumstance when you do want to play 6-4 by making a home board point. That is when you are playing for a gammon. Or to put it another way, when a "gammon" is particularly attractive outcome for the match score. ex you are trailing 4-1 in a 5 pt match post crawford, you have turned the cube and you would LOVE to gammon your opponent as that would win you the match right then and there. You can put this theory to the test by using gnubg setup and hint feature.
1. Cubeful 3-ply 8/2 6/2 Eq.: +0.937
0.499 0.155 0.006 - 0.501 0.136 0.006
3-ply cubeful
2. Cubeful 3-ply 24/18 13/9 Eq.: +0.924 ( -0.013)
0.505 0.134 0.006 - 0.495 0.133 0.005
3-ply cubeful
3. Cubeful 2-ply 24/14 Eq.: +0.918 ( -0.019)
0.506 0.124 0.004 - 0.494 0.132 0.005
2-ply cubeful
This is at the match score mentioned above. If the score is 0-0, the best play is a coin flip between 1, 2 and 3
1. Cubeful 4-ply 24/18 13/9 Eq.: +0.012
0.505 0.137 0.007 - 0.495 0.137 0.006
4-ply cubeful prune [4ply]
2. Cubeful 4-ply 8/2 6/2 Eq.: +0.010 ( -0.002)
0.500 0.152 0.007 - 0.500 0.141 0.006
4-ply cubeful prune [4ply]
3. Cubeful 4-ply 24/14 Eq.: +0.005 ( -0.007)
0.507 0.123 0.005 - 0.493 0.135 0.005
4-ply cubeful prune [4ply]
So actually it is not ever a big mistake to make your 2 pt with 6-4. But making an inner point early usually ends up in a mess unless you are committed to a blitz. Then yes, you can make any home point and if the blitz works, you accomplished your goal of gammon.