With 23 pairs of chromosomes we have 46 dominoes each (ignoring recombination.) This changes the odds of inheriting none of your mother's Scottish dominoes from 1 in a million (2^20) to 1 in 512 (2^9).
That may be true for mom, but conservatively, there's between a 1-in-100 and 1-in-20 odds of inheriting none of your father's dominoes.
Mitochondrial DNA will only come from your mother, but I don't think we're talking about that here.
cheating