How Many Packs to Pull Cynthia from Hidden Fates

Cynthia chase methodology

This page answers exactly one question: how many Hidden Fates booster packs does it take to pull Cynthia #SV82? The numbers below come from the same per-rarity pull-rate model the PackRip Hidden Fates simulator runs on, mirrored from packGenerator.ts. TCGplayer pricing refreshes every build, so the buy-vs-rip verdict at the bottom reflects current market.

The math: ~1 in 162 per pack

Cynthia sits in the Full Art rare-slot pool for Hidden Fates. There are 9 Full Art cards in the Hidden Fates pool, and the Full Art slot fires with probability 5.56% per pack. Since the slot is split evenly across the 9 cards in that tier, the per-pack chance of pulling this specific card is 1 in 162 — approximately 1 in 162.

Pulls are independent and identically distributed, so the number of packs until you hit Cynthia follows a geometric distribution with parameter p = 0.006178. The expected number of packs is 1/p — that's ~162 packs on average. But "average" hides huge variance: the median pull lands faster than the mean (~112 packs at 50% confidence), and a long unlucky tail can stretch the wait dramatically. The 95% confidence band — 484 packs — is where 95% of pull-runs finish; the remaining 5% take even longer.

Concretely: if 100 collectors each opened Hidden Fates packs until they pulled Cynthia, roughly 50 of them would have it by pack 112, 95 of them would have it by pack 484, and a handful would still be chasing past that. Expected ≠ guaranteed; the geometric distribution is famously long-tailed on the right side.

Confidence bands — packs vs cumulative probability

Read this table as "what fraction of openers have pulled Cynthia by pack N?". A 25% band of 47 packs means a quarter of openers hit it inside that window; 99% means almost everyone has hit it by pack 744. The dollar column anchors the variance to real-world sealed-pack cost at $5/pack.

Cheaper to buy Cynthia as a single?

Buying Cynthia as a single on TCGplayer (~$194.74) is dramatically cheaper than chasing it through packs — the expected pack-rip cost is roughly $809, well above the market price.

Pack-rip expected dollar cost for this specific card: ~$809 at $5 per Hidden Fates pack. Compare to $194.74 for the single on TCGplayer (Unlimited / non-graded copy at current market). The single buy obviously delivers exactly this card; the pack-rip approach delivers Cynthia plus the remaining 10 cards in every pack along the way — which is why the EV calculator at /ev/sm115 spreads the cost across the whole pack contents instead of pinning it to one card.

About Cynthia (Hidden Fates)

Cynthia is a Full Art card from Hidden Fates, the 2019 Pokémon TCG expansion. Hidden Fates (August 2019) is a fan-favourite Sun & Moon mini set, with 69 cards in the main set and a separate Shiny Vault subset that made it one of the most beloved special sets of the era. Charizard-GX is the runaway chase, joined by Gyarados-GX and the Legendary Birds on a single Tag Team card — Moltres & Zapdos & Articuno-GX. Rainbow Rares and the Shiny Vault's alternate-colour foils give the set a deep chase ceiling. Pack composition is the 10-card SM layout (1 Rare + 3 Uncommon + 4 Common + 1 Energy + 1 Reverse Holo). PackRip catalogues the 69-card main set within the wider Rainbow Rare arc.

This specific card ranks as one of the top-3 most valuable pulls in Hidden Fates by TCGplayer market value, which is part of why the chase math is what it is — high market value tends to track with rarity-tier depth, since lower pool sizes concentrate value into fewer cards. The complete top-25 Hidden Fates ranking shows where Cynthia sits relative to the rest of the chase pool.

Pull odds in context

For reference, a "1 in 162" pull is roughly comparable to a deep chase — multi-box territory, often case-level commitment. The variance is the killer: any one pack could be the one. The simulation on PackRip's Hidden Fates opener uses the same exact RNG model, so you can stress-test the wait curve without spending real money.

Related chases

• Jessie & James — Full Art, $87.03 market
• Moltres & Zapdos & Articuno-GX — GX, $64.35 market
• All Cynthia printings across 2 sets
• All top-25 Hidden Fates chases
• Complete the Hidden Fates binder — full calculator

Open Hidden Fates free

Rip Hidden Fates packs free on PackRip's simulator with the same per-rarity pull rates this page is built from. The Hunt Pack mode boosts the Full Art slot if you specifically want to optimise for Cynthia-tier pulls. Coin economy is virtual — no real money on the line.

Strategy: optimising the Cynthia chase

Every experienced Hidden Fates hunter eventually picks one of three approaches for a specific chase card. The cheapest is the snipe: skip pack-ripping entirely, set a TCGplayer alert at or below the current $194.74 market, and wait for a motivated seller. This is the route most efficient-frontier collectors take when the chase is locked behind a deep rarity tier — and the math above shows why. The expected pack-rip cost ($809) is typically multiples of the single price, and the variance on that expectation is wide enough that a single bad streak can blow past the 95% confidence bound. The single buy is dollar-for-dollar cheaper and emotionally cheaper too — no more refreshing pack-pull videos at 3am.

The middle path is the box-rip-then-snipe: open a sealed booster box of Hidden Fates (typically 36 packs for vintage sets), enjoy the experience, then if you didn't hit Cynthia in the box, buy the single for $194.74. A 36-pack box delivers a probability of 1 − (1 − p)³⁶ ≈ 20.0% of pulling Cynthia at least once, where p is the per-pack hit rate of 0.006178. So a sealed box gives you roughly a 20% chance of hitting this card "for free" alongside the rest of the box contents, plus the rip experience. If you miss, you backstop by buying the single — total worst-case cost is the box price plus the single. Most rational hobbyists end here.

The expensive path is pure-rip-to-pull: keep opening packs until Cynthia appears. The expected total cost is ~$809, but the 95th percentile pushes that to ~$2,420. Almost nobody who does this comes out ahead financially — but it produces the binder story, the YouTube content, and the cumulative pulls of the entire pack contents along the way. If your real goal is collecting all of Hidden Fates, not just acquiring Cynthia, the pure-rip path has an internal logic the singles path doesn't.

Variance is the entire story

Here's a concrete illustration of how wild the geometric distribution gets at low p. Consider 10 hypothetical openers all chasing Cynthia from Hidden Fates. Mathematically, you'd expect their results to cluster near the 162-pack expectation — but they won't. Roughly 5 will pull Cynthia within the first 112 packs and feel lucky. Roughly 3 will pull between 112 and 162 packs and feel "about average". And roughly 2 will be still pulling past pack 162, with one of them potentially stretching past the 95% bound of 484. The unlucky ones will swear the simulator is rigged, the rates are wrong, or that they have terrible RNG — but the math says exactly this distribution should happen every time. The geometric distribution has no memory: each pack is an independent draw, and a 100-pack dry streak does not increase the odds of the next pack hitting.

How Cynthia compares to the broader Hidden Fates chase pool

Cynthia sits in the Full Art tier of Hidden Fates's rare-slot pool. 9 cards share this tier, and the tier itself fires roughly 5.56% of the time per pack. That means the per-pack chance of pulling any Full Art card (not just Cynthia) is 5.56%, which makes the expected wait for any Full Art card much shorter than the wait for this specific one. Pull-rate intuition: a single chase from a 6-card tier is 6× rarer than the tier itself. The deeper the pool, the longer the chase. This is also why "wide" sets with many chase cards in a single tier feel grindier per individual card despite the tier hit rate being identical — a thicker tier dilutes each card's specific share.

If your real goal is "any chase card from Hidden Fates" rather than "Cynthia specifically", the math gets dramatically friendlier — the wait drops to ~18 packs on average for the tier as a whole. Most binder collectors approach it this way: chase the tier broadly across multiple sets, accept whatever pulls, and snipe the specific holes via TCGplayer later. Targeting one card from a thick tier is the most expensive way to play the chase, and Cynthia is no exception.