The exact math is done above but you are right and there are inconsistencies (when using Panini's pack odds)
Assuming each card has a print run of 15 (and I'm 99.99% sure that they do) here's what the breakdown would look like within each set:
Base Set (150 total cards x 15) = 2250 Galactics
New Wave (30 total cards x 15) = 450 Galactics
Rookie Revolution ( 25 total cards x 15) = 375 Galactics
Icons ( 33 total cards x 15) = 495 Galactics
Showstoppers ( 12 total cards x 15) = 180 Galactics
For a total of 3750 total Galactics, as referenced above.
If you reverse engineer the odds for each insert set (using the case run/pack run from above) you'll come out to this as well:
New Wave ( 1:528 packs):
240,000 / 528 (odds) = 454.54
454.54 / 30 (total cards in set) = 15.15
Rookie Revolution ( 1:632 packs):
240,000 / 632 (odds) = 379.74
379.74 / 25 (total cards in set) = 15.18
Icons ( 1:483 packs):
240,000 / 483 = 496.89
496.89 / 33 (total cards in set) = 15.05
Showstoppers ( 1:1323 packs):
240,000 / 1323 = 181.40
181.40 / 12 (total cards in set) = 15.11
Then you come to the Base Galactic
Base (1:288 packs):
240,000 / 288 = 833.33
833.33 / 150 (total cards in set) = 5.55
That doesn't make any sense whatsoever based on any observation of the case breaks. EVERY SINGLE MASTER CASE HAS 2 GALACTICS! There is 1 per inner case. If Panini's odds were real, then somebody should have opened a case (inner or master) without a Galactic, but I've yet to see it done.
I have no clue where the 288 number came from, but guaranteed the real odds of the Galactic Base is 1:96 packs. This would put it's print run at 15, and line up with pulling 2 Galactics per master case. I could show the math, although it's a lot more complicated, but in short the odds stated are for pulling a "certain" type (base or insert) of Galactic, not pulling "any" type Galactic.
If you open 8 boxes out of an inner case, you will be guaranteed 1 Galactic, 1 Futura, and 2 autos. So the actual odds of pulling "any" Galactic are exactly the same as pulling a Futura, even if the Futura has a higher print run.
TL;DR
