The state court system is a tier system containing courts of first instance, intermediate appellate courts, and
a. two . . the united state supreme court
b. three . . the state supreme court
c. two . . circuit courts
d. three . . district courts

The correct answer to your question is B - Three... the state supreme court.

The full correct sentence would therefore be
"The state court system is a three tier system containing courts of first instance, intermediate appellate courts and the state supreme court."

The other answers are not correct.