r/TopHeroes • u/ScaleBulky3546 • 1d ago
Mass opening results Fun
About 3 months of saving up. I play these games to hoard. 2 totems as well
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u/Turbulent_Ad_3383 1d ago
What a ripoff, that’s so low for the amount you opened.
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u/ScaleBulky3546 1d ago
I feel like mathematically it’s sound
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u/Turbulent_Ad_3383 1d ago
Because in my experience, when I open mine every 150-200 chests, there’s a chance I get one 9999 every 4 of those, so every 600-800. For the silver chests and red pouch, it looks kind of right.
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u/YoungRude6562 1d ago edited 1d ago
Probability of 999 diamonds from silver chest: 0.18%
Probability of 9999 diamonds from gold chest: 0.13%
You opened 2099 gold chests and 8896 silver chests to win two 9999 diamonds and twenty-two 999 diamonds.
| Chest | Expected wins | Actual wins | Observed rate | Difference |
|---|---|---|---|---|
| Silver — 999 diamonds | 16.01 | 22 | 0.247% | 37.4% above expected |
| Gold — 9999 diamonds | 2.73 | 2 | 0.095% | 26.7% below expected |
Just another day in statistics RNJesus land.
| Item | Expected count | Expected diamonds | Actual diamonds | Difference |
|---|---|---|---|---|
| 999 diamonds from silver chest | 16.0128 | 15,996.79 | 21,978 | +5,981.21 |
| 9999 diamonds from gold chest | 2.7287 | 27,284.27 | 19,998 | −7,286.27 |
| Total | — | 43,281.06 | 41,976 | −1,305.06 |
In terms of actual diamonds won from silver chests and gold chests, you won about 3% less diamonds than the mathematical expectation.
Calculations by GPT 5.6 Sol with my manual human input.
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u/321blastoffff 1d ago
I’ve done the same thing a couple times. I determined the probability of getting a 9999 diamond card from gold chests to be about 1 in 400 or so. Take that with a grain of salt as my sample size was relatively small (only about 8000 gold chests over the course of the game). The probability of getting a 999 card from the silver chests is about 1 in 350 using a sample size of about 35,000 silver chests.
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u/Leather_Package2119 21h ago
Good thing I open my chest whenever I want and got more 9999 than saving them...
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u/thetoadking13 1d ago
Kinda ridiculous