I wrote yesterday's post thinking I would be able to explain some intel that I have accumulated over the years. Damn, that was a mistake, huh? A shortsided mind and a post written at four in the morning, trying to work in two email'ers questions....Now's the time to clear some information up....
I stated that Elementium Ore would "proc" an Inferno Ruby every 1.5 stacks. That was a complete and utter typo. What I meant was Pyrite Ore, as over mass prospecting, I averaged near 4 blues per stack, so with RNG on your side, a stack and a half of Pyrite would yield 6 blues, or one of each (with quantity). Now some might say that is a jump, but it's an accurate statement, at least quite a bit more accurate than my Elementium numbers from yesterday.....
Now the Elementium Ore. Fex's numbers (in their comment) are similar to mine in that it's around 1 Inferno (or any given blue) per 4.5 stacks, as you can see below.
Want the full monte with the prospecting of Cata Ore? Let's go with a "per" stack ratio below:
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Obsidium Ore:

"Greens" 5.8 per stack
Carnelian - .92
Zephyrite - .94
Jasper .96
Hessonite .99
Nightstone 1.1
Alicite .95
"Blues" - .9 per stack
Inferno Ruby .14
Dream Emerald .16
Ember Topaz .16
Demonseye .18
Ocean Sapphire .16
AmberJewel .16
If you go with Random numbers, you can figure one "blue" per stack (.9), and 6 "greens" (5.8) per stack prospected.
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Elementium Ore:
"Greens" 4.5 per stack
Carnelian .75
Zephyrite .75
Jasper .78
Hessonite .77
Nightstone .83
Alicite .72
"Blues" 1.8 per stack
Inferno Ruby .31
Dream Emerald .29
Ember Topaz .30
Demonseye .30
Ocean Sapphire .28
AmberJewel .29
If you go with Random numbers, you can figure 2 "blues" per stack (1.8), and 5 "greens" (4.5) per stack prospected.
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Pyrite Ore:
Volatile Earth 3.7 per stack *Edit- This hasn't been updated since 4.1- I am prospecting a bank tab (98 stacks) of Pyrite ATM and will update in about 15 minutes...
"Greens" 6.6 per stack
Carnelian 1.1
Zephyrite 1.2
Jasper 1
Hessonite 1.1
Nightstone 1.1
Alicite 1
"Blues" 3.9 per stack
Inferno Ruby .66
Dream Emerald .67
Ember Topaz .65
Demonseye .67
Ocean Sapphire .66
AmberJewel .65
If you go with Random numbers, you can figure 4 "blues" per stack (3.9), and 6 "greens" (6.6) per stack prospected. Oh, and 3ish Earths....
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Hope this clears up any misconceptions that are floating out there on "proc" rates for prospecting, and above all, have a nice day! =)