Final answer:
In a bone marrow chimera with donor MHC type a and recipient MHC a x b, the correct statement is that mature T cells in the periphery will bind to APCs with either MHC a or MHC b, thanks to negative selection during T cell development favoring cells that recognize both MHC haplotypes without inducing autoimmunity.
Step-by-step explanation:
In the context of bone marrow chimeras where the donor has Major Histocompatibility Complex (MHC) type a and the recipient has MHC type a x b, the correct statement regarding which mature T cells in the periphery will bind to Antigen-Presenting Cells (APCs) is: Mature T cells will in the periphery will bind APC with MHC a or MHC b. This is because during the process of T cell development in the thymus, negative selection ensures that T cells that strongly recognize self-antigens presented on MHC molecules of the body undergo apoptosis to prevent autoimmune responses.
The resulting mature T cells can then recognize and bind to foreign antigens presented by either donor MHC molecules (MHCa) or recipient MHC molecules (MHC a or MHC b). Therefore, these cells are selected for their ability to recognize both MHC haplotypes, without inducing an auto-immune response, which might occur if they only recognized one type of MHC.