The question is a bit unclear so I'll assume you mean something along the lines of "Was the Serbian government involved with the assassination or not"
Kind of. Serbian state organizations such as the military intelligence service and border guards aided the Black Hand (and contained Black Hand members) but the assassination was not ordered by the government, it was organised by the Black Hand and was organised seperately from the Serbian government.
Now the Serbian state had an affiliation with the Black Hand and similar organisations. After the Austro-Hungarian annexation of Bosnia the Serbian foreign minister claimed that there was no difference between the Serbian state's interests and the interests of all Serbs and there was an incredible level of nationalism within the country.
One of the Black Hand's founding members Dragutin Dimitrijević was professor of tactics at the Serbian military academy and later head of military intelligence. The Black Hand was a sort of open secret in Serbia, and its newspaper Pijemont was financed by Prince Alexander who had been informed in advance of its formation. The Black Hand had a terrorist training camp within Serbia and infiltrated the military, border guard, and customs office, with many military officers in particular joining. When the Austrian governor of Bosnia Marijan Varešanin was almost assassinated by a Serbian student the press in Serbia supported the student and a pamphlet which covered the student's life "Death of a hero" was widely circulated.
During the Balkans War against Turkey the Serbian military worked openly alongside partisans and Black Hand groups who committed war crimes against Turks, massacring, and razing entire villages. When the Serbian Prime Minister was contacted by the British ambassador about this he replied that he wasn't there so he couldn't comment on what was happening, and no effort was made to prevent this collaboration. Dimitrijević's promotion to head of intelligence was seen to have happened because of his affiliation with the group, and the high regard it was held in.
But this doesn't mean the Black Hand and government were always natural allies, while they worked together internationally the Serbian government believed the Black Hand's primary aim was to take control of Serbia and oust the government. This came to a head in early 1914 over the issue of whether the military or civil administrators should govern Serbia's newly gained land in Turkey, until Russia and France announced that they supported the current Serbian government and the Black Hand backed down.
We actually know relatively little about how the assassination of Franz Ferdinand was planned, as there is little documentation and it was mostly coordinated through word of mouth. The assassins were smuggled into Bosnia via Serbian border guards, and this was coordinated at the top by the Serbian head of military intelligence (Dimitrijević), but it wasn't coordinated with the government. Although as we have seen the government worked with the Black Hand, and somewhat protected and financed them in the past.
So did the Prime Minister of Serbia order the assassination? No. Did some Serbian state officials aid the assassins? Yes.
Source: The Sleepwalkers by Christopher Clark