Backgammon shot calculator
Click the board to set up the position and see how many of the 36 rolls hit, and which ones.
The board from your side
You move from 24 towards 1. Click a point to cycle through empty, your checker, opponent’s blot and opponent’s blocked point.
Rolls that hit
17/36 (47.2%)
With one die: 11 · Combinations only: 6
The hitting rolls
- 2-2
- 3-3
- 4-2
- 5-1
- 6-1
- 6-2
- 6-3
- 6-4
- 6-5
- 6-6
Entering from the bar
- At least one checker enters
- 32/36 (88.9%)
Exact count of the 36 rolls. The rule that both dice must be played is not checked, because it depends on the whole position.
How it works
Two dice give 36 equally likely rolls: each mixed roll such as 6-5 counts twice and each double once. Counting shots means counting rolls out of 36.
A blot six pips away or closer can be hit directly with one die, and 11 rolls out of 36 contain any given number. Further away you need combinations and the chance falls quickly: 6 rolls at seven pips and only 3 at twelve.
Combination moves need open landing points on the way. If your opponent holds a point between your checker and the blot, the rolls that would pass through it do not count, and the calculator allows for this.
With a checker on the bar you must enter first. Against four open points in your opponent’s home board a checker enters on 32 rolls out of 36; against two it is only 20.
Like published shot tables, the count assumes that any dice the hitting checkers do not use can be played elsewhere.