I don't get over here very often, and this probably has already been discussed, but seems to be some confusion here. Blue, as in andalusian blue, the more common type of blue, (the other being self blue, or sometimes called lavender), is a diluter of black.
Any black bird, be it solid black of has black in its pattern, such as partridge, or gold laced, etc.. has two copies of black, and can only pass on a copy of black to it's offspring.
A blue (andalusian) bird has one copy of black and one copy of blue, there by diluting all normally black pigment in the pattern to blue. This bird can pass either a copy of black, or a copy of blue on to it's offspring.
A splash bird has two copies of blue, turning the normally black part of the pattern to varying degrees of white to washed out light grey, depending on other modifiers (same as the blue in the previous bird can vary from very dark to a lighter blue). This bird can only pass a copy of blue on to it's offspring.
Each bird can only carry two copies of black, or blue, or one of each, but not three, as some have previously speculated.
Now just to muddy the water, self blue (or lavender) works differently, it is recessive and requires two copies, one from each parent to produce a self blue chick. A bird with one copy of black, and one copy of self blue will be black. Breeding two self blue birds together will produce 100% self blue chicks.