If I knew IF anything else was tied into that circuit, I might be able to give better insight. Otherwise, I'd say continue on.

I don't know for a fact that the injectors are the only thing on that fuse but it is labeled in the owner'* manual "fuel injectors" With none of the injectors reading any resistance I don't see how they grounded out/shorted causing the 10A fuse to blow? I will be driving it around some more this week and maybe as you said it was a one time thing. I just want to be able to put more trust into this car than right now. If you find a wiring diagram/inj. resistance value please post them here. Again thank you Mike

Is this car called a " Olds 88 Royale? 3.8? If so the diagram is saying the 10amp fuse is in slot 7.

I will check my owner'* manual again to confirm but I thought it was #8 slot. The car is a Delta 88, not a Royale but a 3.8 L V-6. Thanks for finding/sending the diagram. Would this still apply to my car/model ?

Correction please: It is a ROYALE but my owner'* manual fuse box listing does confirm #8 10A Injectors with # 7 15A Horns I see # 5 Fuel pump so I don't know ???? Thanks again Dan

After looking at the blown fuse, it appears to have burned thru, on one end of the metallic loop it is thrown up against the top of the plastic fuse and there is no loose pieces in the interior of the fuse. I would have to say that it was a standard blow/burn due to overamperage and not use a worn out fuse but could still be slightly defective, I guess?
It seems to have been caused by a shorted injector for some unknown reason but how can I determine which one if all appear to be operating normally now, again with zero ohm resistance? I just have a feeling that it will randomly reoccur and I don't want to be in a bad spot whenever it does decide to let go, kinda like a ticking time bomb, not knowing when it is set to blow! Well, I do thank EVERYONE ON THIS GROUP for their efforts to assist me on this. We will still do some undercover work and determine the culprit yet! Ha...... I did look at the wiring diagram that Mike posted and the only other factor could be the PCM throwing a bad signal/grounding/shorting to the injectors, some kind of way??? I don't see anything else other than that or harness wiring/connectors which I have looked at already?

How do you delete a posted reply, I posted the same thing twice accidently? I didn't see a way to delete it? Thanks Sorry

No problem, I can fix it.

its not the pcm or anything on that side of the injector because one of the injectors would be on all the time. like he said sometimes it never happens again, you dont really know until it happens again or you can make it happen by playing with those wires see if it pops again.

So the PCM is constantly signalling one or more injectors therefore it would have repeated by now, right? I will recheck the injector resistances with all inj. connectors disconnected and see what I read then. I will try to feel and get a temp reading on that fuse compared to other fuses to see if #8 is the same or higher running temp. I was trying to rule in or out on the PCM being randomly faulty as well. As you said it is working constantly to signal the injectors. If an injector stuck/shorted momentarily then that will be a hard one to root out but I don't want a repeat at the wrong place.
THANK YOU JWFIRE