Understanding Pack EV vs. Breakeven Odds

Why Can a Pack Be +EV But Have Low Breakeven Odds?

You might notice that some packs show positive EV (expected value/profit) but only a 10% chance of breaking even. This seems contradictory, but it actually makes perfect mathematical sense.

The Key Difference

A Real Example: 50 The Show Packs Bundle

Wait... only 9.42% chance to break even, but it's +EV?

Yes! Here's why:

The Math Behind the "Paradox"

Most of the time (~90%), you'll open the bundle and get cards worth less than 75,000 total. You'll "lose" on that bundle.

But that ~10% of the time you hit? You might pull:

• Shohei Ohtani (200,000+ stubs)
• Aaron Judge (200,000+ stubs)
• Ian Happ (490,000+ stubs)
• Or other high-value cards

These rare "jackpot" pulls are worth so much more than the pack cost that they pull up the average. When you add up all possible outcomes weighted by their probability, the math works out to +39,319 stubs profit on average.

Think of It Like This

Imagine flipping a coin:

• Heads (50%): You lose 75,000 stubs
• Tails (50%): You win 200,000 stubs

Your "breakeven odds" are only 50%, but your EV is:

> (0.5 × -75,000) + (0.5 × +200,000) = +62,500 stubs

The pack market works the same way—just with more complex odds.

What This Means for You

• Short term: Most individual pack openings won't break even
• Long term: If you opened hundreds of these bundles, you'd profit on average
• Reality check: Most players don't open enough packs for the "law of large numbers" to smooth out the variance

The Bottom Line

Positive EV ≠ Guaranteed Profit

A +EV pack means the math favors you over time. But pack opening is inherently high-variance—you might go on long cold streaks before hitting big. The breakeven odds tell you how often you'll actually "feel" like a winner on any single purchase.