There are a number of mathematical consideration in backgammon. As a beginner plays and becomes seri. ous about the game, these things will become more im. portant.
For the time being, however, there is only one concept that a beginner should definitely know.* He should know how to compute the chances of a blot he is leaving getting hit. Can he put the blot in a safei place, should safety be his concern?
If a player has left a blot, it can be hit by various combinations. Let’s say he has a blot next to an opp% ing man. How often can that man hit the blot? TM + _:.t,er ..f haman will hit if the opponent roiis a 1 dn Gu~. ~. – i two dice. Here are the possible ways.
Die one: 6 5 4 3 2 1 1 1 1 1 1 Die two: 1 1 1 1 1 1 2 3 4 5 6
Notice that there are eleven possible rolls that hC ,be blot. Also notice that 1-1 occurs only once whk 1-3 or 1-5, etc., occurs twice.
Be aware that there two ways to roll any combination that is not doubW Therefore, one’s chances to roll any specific num that is, a 6, a S, or a 1, are exactly 11/36. Thirty¬is the total number of possible combinations that can roll.
If the blot is further away from the opponent’s man the odds of its being hit change. Suppose the blot is six spaces away from the opponent’s man. Now it can be hit by any combination with, which is 11/36 chances; 5-1, which is 2/36 chances; 4-2, which is 2/36 chances; 3-3, which is 1/36 chance; 2-2 which is 1/36 chance; or a total of I7/36 chances.determine how often the blot on point 18 can be hit.
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