It took me 237 standard packs before I pulled a diamond (Paul Goldschmidt, sold for 10k).
Let's do some math; in the 375k cost of those packs, I had a 1:50 chance of each individual pack containing a diamond.
Or a 49/50 (.98) chance that they wouldn't contain a diamond.
Compound statistics tells us we can multiply the probability of independent events to find a compound probability. For example, .98^2=.96 meaning that if you opened 2 packs there is a 96% chance you won't get a diamond (which makes sense, it's two packs). Or in 10 packs, .98^10=.82, there is a 18% chance of a diamond in 10 packs, not great, but almost 1/5 of every 10 pack bundle will have a diamond.
How about my first 236 packs before a diamond? .98^236=0.0085. As a percentage we move the decimal place over so there was a .85% chance of this happening. I had a 99.15% chance of getting a diamond but I didn't. Statistics don't care about your feelings, and that stat changed the moment I opened pack number one. Each event was independent, the game doesn't care if I'm 200 packs in and am "due", the next pack is always 1:50, the game doesn't care if you just pulled Trout, 1:50 on the next pack. And as I saw this game show an ounce of sympathy on pack 237, with my first diamond, following a streak that happens less than 1% of the time, I saw the blue high diamond lights, before being greeted with a pull of 10,000 stub value, a small reward for the 375k lost.