| Table 1
| 1-1 |
1-2 |
1-3 |
1-4 |
1-5 |
1-6 |
| 2-1 |
2-2 |
2-3 |
2-4 |
2-5 |
2-6 |
| 3-1 |
3-2 |
3-3 |
3-4 |
3-5 |
3-6 |
| 4-1 |
4-2 |
4-3 |
4-4 |
4-5 |
4-6 |
| 5-1 |
5-2 |
5-3 |
5-4 |
5-5 |
5-6 |
| 6-1 |
6-2 |
6-3 |
6-4 |
6-5 |
6-6 |
- There are 11 ways in which a
specified number may be thrown;
hence the chance of throwing a 5
is 11 in 36 (simple odds 9-4)
- There are two ways in which a
combination of two ordinary
numbers may be thrown; hence the
chance of throwing a 2 and a 1
(2-1 or 1-2) is twon in 36 (simple
odds 17-1)
- There is only one way in which a
particular double may be thrown;
hence the chance of throwing 5-5
is one in 36 (simple odds 35-1)
Table 2 shows the exact odds, the
simplified odds and the percentage
chance of being able to move a
specific number of points (provided
that your opponent has not blocked any
of them along the way).
Table 2
| Number of points
to be moved |
Throws against /
for |
Simple odds |
% Chance |
| 1 |
25/1 |
9-4 |
31% |
| 2 |
24/12 |
2-1 |
33% |
| 3 |
22/14 |
3-2 |
39% |
| 4 |
21/15 |
7-5 |
42% |
| 5 |
21/15 |
7-5 |
42% |
| 6 |
19/17 |
9-8 |
47% |
| 7 |
30/6 |
5-1 |
17% |
| 8 |
30/6 |
5-1 |
17% |
| 9 |
31/5 |
6-1 |
14% |
| 10 |
33/3 |
11-1 |
8% |
| 11 |
34/2 |
17-1 |
5.5% |
| 12 |
33/3 |
11-1 |
8% |
| 15 |
35/1 |
|
3% |
| 16 |
35/1 |
|
3% |
| 18 |
35/1 |
|
3% |
| 20 |
35/1 |
|
3% |
| 24 |
35/1 |
|
3% |
It is absolutely essential for a
player to be familiar with table 2,
and it is particularly important to be
aware of the true chances of success
or failure when offering or refusing a
double. If a player is ignorant of the
possible consequences of throwing any
particular roll (i.e. a particular
combination of dice), he will be at a
decided disadvantage-especially if his
opponent is aware of them.
|
Backgammon Maths