Lambing pattern
if all other things are constant does seem to have a genetic component - I've a line of sheep always have a single first time then twins always or sometimes thereafter, and one line just has singles, except the one and only time the founding ewe had two - which was when we discovered half her udder didn't function.
So how I look at it is that knowing the history helps with probabilities, but you absolutely mustn't bank on it!
And I also have had ewes so big and square you could have sat a family of 6 down to eat a roast dinner off her back, some of which have had triplets, many twins, and one or two have just had one. A much more reliable predictor of "litter size" is ewes body condition (BCS), but even at that, you can have a large but thin ewe produce a single, a fat ewe produce triplets, just like a ewe you thought might be empty can have quads, a big ewe a tiny single, and so on!