What this Pokémon TCG Pocket luck calculator does
This tool estimates how lucky (or unlucky) your opening session has been in Pokémon TCG Pocket. You provide a per-pack pull rate and the number of packs you opened, and the calculator returns:
- Your chance of pulling at least 1 copy of the target card.
- Your chance of pulling at least N copies (where N is your goal).
- Your expected copies from that many packs.
- How many packs you’d need for a chosen confidence target (for 1+ copy).
- A luck score if you enter your actual copies pulled.
How to use it correctly
1) Get a realistic pull rate
The quality of your result depends on your input. If possible, use known rates from reliable community tracking, official disclosures, or your own large sample logs. Small samples can swing hard and make rates look better or worse than reality.
2) Enter total packs opened
Use total packs for the same banner/pool context where the rate applies. If rates vary by set or promotion, calculate them separately instead of combining everything.
3) Compare expected vs actual
If your actual copies are above expectation, you were likely on the lucky side. If below, likely unlucky. The calculator quantifies that with a rough percentile and label.
Interpreting your luck score
Luck in pack openings is noisy. Even if the game is fair, random outcomes produce streaks. A “very unlucky” session does not necessarily mean rates are broken—it means your result landed in a low-probability slice.
- Very Lucky: substantially above expectation.
- Slightly Lucky: modestly above expectation.
- About Average: normal random variation.
- Slightly Unlucky: somewhat below expectation.
- Very Unlucky: far below expectation.
The math (simple version)
At least one copy
If your per-pack chance is p and you open n packs:
Chance of no copy = (1 - p)^n
Chance of 1+ copy = 1 - (1 - p)^n
At least K copies
This uses the binomial distribution, which models repeated independent trials with fixed success chance.
We compute the probability of getting fewer than K copies and subtract from 1.
Expected value
Expected copies is simply n × p. It’s the long-run average over many repeated sessions, not a guaranteed outcome.
Example scenarios
Case A: Rare chase card
Suppose your target has a 0.5% rate and you open 100 packs. Your expected copies are 0.5. That means many players will still get zero. “No hit” can feel awful, but statistically it may still be common.
Case B: Mid-tier card
At a 2% rate over 60 packs, expected copies are 1.2. Getting 0 is unlucky, 1 is close to average, and 3+ is a hot streak.
Practical tips for players
- Set a pack budget before opening so variance doesn’t push spending decisions.
- Track openings in a spreadsheet to compare your long-term average against expected rates.
- Evaluate outcomes over larger samples; single sessions are highly volatile.
- If your goal is deck completion, compare opening odds versus crafting/trading pathways (if available).
Important disclaimer
This calculator is for education and entertainment. It assumes each pack opening is independent with a stable per-pack rate. Real game systems may include different pools, pity mechanics, changing banners, or rate differences that can alter true odds. This page is fan-made and not affiliated with The Pokémon Company.