How is the inheritance of a deceased sister, whose father has passed away, distributed among her full sister, her half-brother and half-sister from the father's side, and her two half-brothers from the mother's side, given that the father is deceased?

The exact division of the inheritance cannot be determined precisely until all heirs are comprehensively identified. The questioner can use the designated link for identifying heirs. If we assume the heirs are a full sister, a paternal brother, a paternal sister, and two maternal brothers, then the full sister receives one-half, the two maternal brothers receive one-third divided equally between them, and the remainder goes to the paternal brother and the paternal sister by ta’sib (residuary heirship), with the male receiving the share of two females. In this case, the inheritance is divided into eighteen shares.