Dice Baseball

1-1    Fly Out
1-2    Ground Out
1-3    Base on Balls (Walk)
1-4    Single
1-5    Strikeout
1-6    Ground Out
2-2    Double
2-3    Fly Out
2-4    Single
2-5    Ground Out
2-6    Infield Fly
3-3    (1-3   Double)
         (4-6   Triple)
3-4    Strikeout
3-5    Outfield Fly
3-6    Ground Ou
4-4    Error
4-5    Infield Fly
4-6    Outfield Fly
5-5    Base on Balls (Walk)
5-6    Ground Out
6-6    Home Run

Errors - Determine what position committed the error (1-4 Infield, 5-6 Outfield). 
For Infield uses scoring position (1-Pitcher, 2-Catcher, 3-1b, 4-2b, 5-3b, 6-SS).  Then role for #bases (1-4 everyone moves one base, 5 two bases, 6 roll again, if 1-5 two bases, 6 three bases and charge that position 2 errors.)
For Outfield (LF - 1,4.  CF 2, 5.  RF  3, 6).  Then determine if it was fielding (1-2), or from  a base hit (4-6).  If base hit, determine type of hit (1-3  single, 4-5 double, 6 triple).   For both fielding and base hit then determine #bases advanced same as above: (1-4 everyone moves one base, 5 two bases, 6 roll again, if 1-5 two bases, 6 three bases and charge that position 2 errors.)

Stolen Bases - 1st to 2nd (1-3 safe, 4-6 out),   2nd to 3rd (1-2 safe, 3-6 out), 3rd - Home (1 safe, 2-6 out)

Advancing a Runner from 1st Base to 3rd base on a single or from 2nd to 3rd on an Outfield Fly

First determine what field the ball was hit   (1, 4 rf: 2,5 cf; 3,6 lf
Then determine the depth of the hit (from 1, very shallow, to 6, very deep)

Depth of Hit                 Right Field                         Center Field                        Left Field
         1....................1-safe; 2,3,4,5,6-out..................all out................................all out
         2....................1,2-safe; 3,4,5,6-out..........1-safe; 2,3,4,5,6-out.................all out
         3....................1,2,3-safe; 4,5,6-out..........1,2-safe; 3,4,5,6-out........1-safe; 2,3,4,5,6-out
         4....................1,2,3,4,5-safe; 6-out..........1,2,3-safe; 4,5,6-out........1,2-safe; 3,4,5,6-out
         5.............................all safe.......................1,2,3,4-safe; 5,6-out........1,2,3-safe; 4,5,6-out
         6.............................all safe..............................all safe.......................1,2,3,4,5-safe; 6-out

Advancing a Runner From 2nd to Home on a Single, From 1st to Home on a Double, or From 3rd to Home on an Outfield Fly

Only determining the depth of the hit is required; the direction of the hit can be thrown, but is not material.
                                    
                                      Depth of Hit                                         Play at Home
                                               1....................................................all out
                                               2....................................................1-safe; 2,3,4,5,6-out
                                               3....................................................1,2-safe; 3,4,5,6-out
                                               4....................................................1,2,3-safe; 4,5,6-out
                                               5....................................................1,2,3,4,5 safe; 6-out
                                               6....................................................all safe

Advancing from 1st to 2nd on an outfield fly is only possible when the depth of the fly is 5 or 6

                                      Depth of Hit                                          Play at 2nd

                                               5....................................................1-safe; 2,3,4,5,6-out
                                               6....................................................1,2 safe; 3,4,5,6-out