It's not so hard. All genes come in pairs. Like two lights in a dark room.
For BBS it's really easy. IF both light bulbs are burnt out the room is dark. If you have only one working light bulb, no matter which one it is, the room looks blue. If both are working it looks splash. So it's like BB black, Bb or bB is blue, and bb is splash.
Now if you have a chicken that is black, you know both light bulbs are burnt out (bb), blue one is working one is out and on splash both are working.
A chick randomly inherits one of the two light bulbs from a parent. So if you have one splash chicken (bb) it MUST pass down at least ONE b. There's NO other option. It ONLY has working lightbulbs to give the chick.
So there's no physical way a chicken with bb can pass produce a BB chicken because one "B" has to come from a chicken that literally doesn't have one. A black chick can only come from a pair where both parents have a genetic B to give.
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So here's an example. You can see the leftmost breeding is a bbXBb. The middle is BbxBb, the right is BBxBb. A splash can never produce a black offspring. Never.