next of kin, not have a/the ghost of a chance

Spanair is a financially troubled low-cost carrier owned by SAS, Scandinavian Airlines System. SAS said it was doing “everything possible to help passengers and next of kin and to assist Spanish authorities at this difficult time.”

not have a/the ghost of a chance INFORMAL
to have no chance at all:
They haven't got a ghost of a chance of winning.

next of kin noun [C] plural next of kin
the person or group of people you are most closely related to:
We cannot release the names of the soldiers who were killed until we have informed their next of kin.

kin

--> ━━ n. ((複数扱い)) 親類, 親戚; 血族関係, 血縁; 同類.
near of kin　近親で ((to)).
(one's) next of kin　【法】((単複両扱い)) 最近親者（たち）.
no kin　親戚でない, 無関係で ((to)).
of kin　親戚で; 同種類で.
━━ a. 血縁［親戚］の, 同類の ((to)).
kin・folk(s), kins・folk(s)　━━ n.pl. 親戚.
kin・ship　━━ n. 血族［親族］関係; 類似.
kins・man　親戚の男.
kin・woman　親戚の女.