The purpose of this study is to confirm that the pharmacokinetics of ibrutinib in pediatric participants is consistent with that in adults (part 1) and to assess efficacy (event-free survival [EFS]) of ibrutinib in combination with rituximab, ifosfamide, carboplatin, and etoposide (RICE) or rituximab, vincristine, ifosfamide, carboplatin, and idarubicin (RVICI) background therapy compared to RICE or RVICI background therapy alone (part 2).