A measure of Luck. I discuss criteria a measure of luck should satisfy and a mathematically correct measure of luck which has some surprising consequences. Luck is the equity gained through the roll of the dice. The luck involved in any match won is about the same as the luck involved in any other, barring serious errors. From any non-gin position in a match, you need good luck to win and bad luck to lose.
Strong players are lucky more often than weak players.
Forced rolls might be good luck and they might be bad, but you play them perfectly. The Half-Crossover Pipcount. Backgammon is essentially a race with obstacles, and knowing whether one is ahead in the race or not is vital for correct playing strategies. Here I introduce a new, simple method for establishing the exact pipcount. As a bonus, one first gets an approximate pipcount, which usually suffices.