Assuming that the OP does mean half-siblings and not step-siblings, would the correct answer be "between 0 and 100%, depending on which genes the egg and sperm had"?
I'm thinking it's like this:
Call the common parent A and the two half-siblings B and C. B's other parent is D, C's other parent is E.
B has half their genes from A and half from D.
C has half their genes from A and half from E.
Each of B's gametes could contain only genes from A, only genes from D or any mix in between.
Each of C's gametes could contain only genes from A, only genes from E or any mix in between.
So a baby from B and C could contain no genes from A at all (all D from B, all E from C), genes only from A or any mix of genes from A, D and E.
It's not a good idea, though. There's too much chance of too little diversity, unless you're using screening and in vitro fertilisation.