Pull rates are community estimates, not official odds — every EV here is a projection, not a promise.

Magic: The Gathering · mh3 · 2024-06-14

Modern Horizons 3Booster Box (36 packs)

Sources
Expected value
$187.89
$5.22 per pack × 36
Retail (MSRP)
if you can find it at retail price
Current market
$219.95-14.6%
hand-tracked 2026-07-23 — PriceCharting sealed (Booster Box loose), 2026-07-23

Where the value comes from

TierOdds / packAvg card valueEV / packP(≥1) / product
Rare86.5%$3.69$3.19100.0%
Mythic Rare13.5%$7.82$1.0699.5%

Expected hits per product: 36.00 (counting every tier the pull-rate table enumerates).

What are the odds you profit?

EV is the average; this is the distribution. 20,000 simulated openings of this exact product, using the same sources, odds and prices as everything above.

20.9%
beat today's market price
$184.97
median opening
$241.99
luckiest 1 in 10 opens above

Same assumptions as the EV: odds are uniform within each tier (real sets short-print their biggest chases, so true odds are usually a touch worse than this), cards sell at today's market price, and selling costs nothing. Read it as a ceiling, not a promise.

Chase cards

32 priced · biggest hits first
Ocelot Pride$41.37
Ocelot Pride #38
Mythic Rare
1 in 163 packs0.61%
Phyrexian Tower$28.13
Phyrexian Tower #303
Mythic Rare
1 in 163 packs0.61%
Polluted Delta$19.96
Polluted Delta #224
Rare
1 in 87 packs1.2%
Urza's Incubator$19.60
Urza's Incubator #297
Rare
1 in 87 packs1.2%
Bloodstained Mire$18.47
Bloodstained Mire #216
Rare
1 in 87 packs1.2%
Wooded Foothills$17.08
Wooded Foothills #236
Rare
1 in 87 packs1.2%
Ulamog, the Defiler$16.05
Ulamog, the Defiler #15
Mythic Rare
1 in 163 packs0.61%
Flooded Strand$16.01
Flooded Strand #220
Rare
1 in 87 packs1.2%
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar$15.96
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar #242
Mythic Rare
1 in 163 packs0.61%
Warren Soultrader$14.67
Warren Soultrader #110
Rare
1 in 87 packs1.2%
Fanatic of Rhonas$14.04
Fanatic of Rhonas #152
Rare
1 in 87 packs1.2%
Ruby Medallion$13.58
Ruby Medallion #295
Rare
1 in 87 packs1.2%
Ugin's Labyrinth$13.35
Ugin's Labyrinth #233
Mythic Rare
1 in 163 packs0.61%
Windswept Heath$11.68
Windswept Heath #235
Rare
1 in 87 packs1.2%
Jet Medallion$11.51
Jet Medallion #292
Rare
1 in 87 packs1.2%
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger$9.43
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger #237
Mythic Rare
1 in 163 packs0.61%
Arena of Glory$7.98
Arena of Glory #215
Rare
1 in 87 packs1.2%
Sapphire Medallion$7.67
Sapphire Medallion #296
Rare
1 in 87 packs1.2%
Ral, Monsoon Mage // Ral, Leyline Prodigy$7.21
Ral, Monsoon Mage // Ral, Leyline Prodigy #247
Mythic Rare
1 in 163 packs0.61%
Branching Evolution$6.80
Branching Evolution #285
Rare
1 in 87 packs1.2%
Ripples of Undeath$6.15
Ripples of Undeath #107
Rare
1 in 87 packs1.2%
Sylvan Safekeeper$6.10
Sylvan Safekeeper #287
Rare
1 in 87 packs1.2%
Recruiter of the Guard$5.78
Recruiter of the Guard #266
Mythic Rare
1 in 163 packs0.61%
Pearl Medallion$5.78
Pearl Medallion #294
Rare
1 in 87 packs1.2%
Shifting Woodland$5.63
Shifting Woodland #228
Rare
1 in 87 packs1.2%
Springheart Nantuko$5.61
Springheart Nantuko #171
Rare
1 in 87 packs1.2%
Orim's Chant$5.61
Orim's Chant #265
Rare
1 in 87 packs1.2%
Psychic Frog$5.48
Psychic Frog #199
Rare
1 in 87 packs1.2%
Phelia, Exuberant Shepherd$5.46
Phelia, Exuberant Shepherd #40
Rare
1 in 87 packs1.2%
Ashling, Flame Dancer$5.37
Ashling, Flame Dancer #115
Mythic Rare
1 in 163 packs0.61%
Six$5.27
Six #169
Rare
1 in 87 packs1.2%
Toxic Deluge$5.23
Toxic Deluge #277
Rare
1 in 87 packs1.2%

Each tile: card value (top-right), then the odds of pulling that exact cardfrom a single pack — shown as “1 in N packs” and as a percentage (the same number, two ways). Per-card odds assume every card in a tier is equally likely — no public data quantifies short prints. See methodology.

Special-treatment cards

60 shown · not counted in EV
Ulamog, the Defiler$2,334.99
Ulamog, the Defiler #383z
Mythic Rare
Ral, Monsoon Mage // Ral, Leyline Prodigy$78.90
Ral, Monsoon Mage // Ral, Leyline Prodigy #471
Mythic Rare
Ocelot Pride$76.34
Ocelot Pride #322
Mythic Rare
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar$74.84
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar #469
Mythic Rare
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger$48.91
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger #468
Mythic Rare
Ulamog, the Defiler$44.64
Ulamog, the Defiler #383
Mythic Rare
Kaalia of the Vast$43.01
Kaalia of the Vast #343
Mythic Rare
Phyrexian Tower$42.48
Phyrexian Tower #355
Mythic Rare
Sorin of House Markov // Sorin, Ravenous Neonate$42.06
Sorin of House Markov // Sorin, Ravenous Neonate #470
Mythic Rare
Polluted Delta$34.53
Polluted Delta #356
Rare
Bloodstained Mire$32.63
Bloodstained Mire #352
Rare
Flooded Strand$32.39
Flooded Strand #353
Rare
Ulamog, the Defiler$30.75
Ulamog, the Defiler #476
Mythic Rare
Wooded Foothills$27.41
Wooded Foothills #361
Rare
Warren Soultrader$24.74
Warren Soultrader #332
Rare
Phlage, Titan of Fire's Fury$23.88
Phlage, Titan of Fire's Fury #493
Mythic Rare
Polluted Delta$22.90
Polluted Delta #465
Rare
Windswept Heath$22.74
Windswept Heath #360
Rare
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar$22.71
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar #443
Mythic Rare
Emrakul, the World Anew$22.26
Emrakul, the World Anew #381
Mythic Rare
Wooded Foothills$21.71
Wooded Foothills #467
Rare
Ruby Medallion$20.37
Ruby Medallion #348
Rare
Jet Medallion$20.13
Jet Medallion #346
Rare
Bloodstained Mire$18.97
Bloodstained Mire #463
Rare
Flooded Strand$18.80
Flooded Strand #464
Rare
Ugin's Labyrinth$17.68
Ugin's Labyrinth #359
Mythic Rare
Grist, Voracious Larva // Grist, the Plague Swarm$17.66
Grist, Voracious Larva // Grist, the Plague Swarm #472
Mythic Rare
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger$16.63
Ajani, Nacatl Pariah // Ajani, Nacatl Avenger #442
Mythic Rare
Ashling, Flame Dancer$15.85
Ashling, Flame Dancer #481
Mythic Rare
Fanatic of Rhonas$15.42
Fanatic of Rhonas #458
Rare
Psychic Frog$15.36
Psychic Frog #344
Rare
Phelia, Exuberant Shepherd$15.27
Phelia, Exuberant Shepherd #478
Rare
Kaalia of the Vast$14.60
Kaalia of the Vast #375
Mythic Rare
Windswept Heath$14.55
Windswept Heath #466
Rare
Sapphire Medallion$14.27
Sapphire Medallion #349
Rare
Six$14.01
Six #370
Rare
Flare of Fortitude$13.59
Flare of Fortitude #321
Rare
Ral, Monsoon Mage // Ral, Leyline Prodigy$13.03
Ral, Monsoon Mage // Ral, Leyline Prodigy #445
Mythic Rare
Eladamri, Korvecdal$11.87
Eladamri, Korvecdal #483
Mythic Rare
Kaalia of the Vast$11.53
Kaalia of the Vast #489
Mythic Rare
Kozilek, the Broken Reality$11.39
Kozilek, the Broken Reality #382
Mythic Rare
Arena of Glory$11.24
Arena of Glory #351
Rare
Ashling, Flame Dancer$11.14
Ashling, Flame Dancer #367
Mythic Rare
Pearl Medallion$11.05
Pearl Medallion #347
Rare
Orim's Chant$10.80
Orim's Chant #323
Rare
Sorin of House Markov // Sorin, Ravenous Neonate$10.36
Sorin of House Markov // Sorin, Ravenous Neonate #444
Mythic Rare
Flare of Denial$9.85
Flare of Denial #326
Rare
Emrakul, the World Anew$9.80
Emrakul, the World Anew #473
Mythic Rare
Six$9.55
Six #484
Rare
Shilgengar, Sire of Famine$8.75
Shilgengar, Sire of Famine #480
Rare
Shifting Woodland$8.48
Shifting Woodland #357
Rare
Phelia, Exuberant Shepherd$7.82
Phelia, Exuberant Shepherd #364
Rare
Nethergoyf$7.68
Nethergoyf #454
Mythic Rare
Phlage, Titan of Fire's Fury$7.65
Phlage, Titan of Fire's Fury #379
Mythic Rare
Springheart Nantuko$7.56
Springheart Nantuko #341
Rare
Ripples of Undeath$7.34
Ripples of Undeath #455
Rare
Eladamri, Korvecdal$7.22
Eladamri, Korvecdal #369
Mythic Rare
Herigast, Erupting Nullkite$7.17
Herigast, Erupting Nullkite #474
Mythic Rare
Kozilek, the Broken Reality$7.09
Kozilek, the Broken Reality #475
Mythic Rare
Kozilek's Command$7.04
Kozilek's Command #11
Rare

Premium special-art printings — showcase/borderless prints, ultra-secret SARs and the like. They’re the set’s headline chases but pulled far below any rate public data quantifies, so they’re shown here for reference and deliberately excluded from the EV above.

Is it worth grading?

PSA US fees, approx · Jul 2026

What a PSA 10 sells for vs the raw price plus PSA's fee — the upside if the card grades a 10. The odds of actually getting a 10 are a separate column, still pending.

CardRawPSA feePSA 10 valueNet if 10Chance of 10
Ocelot Pride #38$41.37$79.99 (Regular)
Phyrexian Tower #303$28.13$79.99 (Regular)
Polluted Delta #224$19.96$79.99 (Regular)
Urza's Incubator #297$19.60$79.99 (Regular)
Bloodstained Mire #216$18.47$79.99 (Regular)
Wooded Foothills #236$17.08$79.99 (Regular)
Ulamog, the Defiler #15$16.05$79.99 (Regular)
Flooded Strand #220$16.01$79.99 (Regular)
Tamiyo, Inquisitive Student // Tamiyo, Seasoned Scholar #242$15.96$79.99 (Regular)
Warren Soultrader #110$14.67$79.99 (Regular)
Fanatic of Rhonas #152$14.04$79.99 (Regular)
Ruby Medallion #295$13.58$79.99 (Regular)

Net if 10= PSA 10 value − raw − fee, the gain assuming a perfect grade (an upper bound — most cards won't 10). Chance of 10is this card's own PSA population — of every copy graded, the share that came back a 10 — and it drives the graded EV toggle instead of one flat assumption. Read it as a ceiling, not a coin flip: it counts cards people CHOSE to submit, which skews toward good copies, and a card pulled from a pack today may fare worse. A “—” means too few graded copies to quote. PSA 10 prices come from Scrydex and PokemonPriceTracker. Fees exclude shipping and use the cheapest PSA tier for each card's declared (graded) value. PSA paused its cheaper Value tiers in June 2026 under a grading backlog, so Regular ($79.99) is the current floor — grading a card much under ~$100 rarely makes sense.

How many packs for…

113 packs for a 50% chance
375 packs for a 90% chance

No number of packs guarantees it — that is what a -14.6% market ROI pays for.

Pull-rate data

LOWn undisclosedsource ↗

Magic booster EV, modeled on the ~1 rare-or-mythic-per-pack structure common to Draft, Set and Play Boosters: rare 0.865 / mythic 0.135 (mythic ~1 in 7-8), plus ~7 commons + ~3 uncommons per pack. WotC discloses booster collation, so this beats a pure community estimate, but it is still MODELLED and capped LOW: (1) special treatments (showcase/borderless/extended, and pre-2024 alt-frames) are folded into the flat common/uncommon/rare/mythic tiers with a uniform-within-tier assumption, which OVERSTATES the odds of the specific expensive alt-treatment prints; (2) prices are the NON-FOIL TCGplayer market price (via Scryfall) — a pack's guaranteed slots are all non-foil; the single foil slot's extra value is not added to EV (conservative); (3) for Play Boosters the wildcard + foil slots add ~0.2 more rares/mythics per pack that are NOT modelled (conservative); (4) older sets used Draft Boosters (more commons, foil ~1 in 3-4 packs) - the rare/mythic value driver is the same but the rest is approximate. Only cards Scryfall marks booster:true are counted (no promos/box-toppers/Commander cards). Net: a rough, indicative pack EV, not a precise one.

Market price history

No history yet. The chart fills in as the daily price job accumulates snapshots.