2026 Bowman Baseball Sapphire Pack Odds Calculator
Set how many packs you’re opening then pick the card you’re chasing from the dropdown. The big figure is your chance of pulling at least one of that parallel, autograph or insert across your packs; the table below prices every parallel at once. All rates are Topps’ official published odds.
| Parallel | Per pack | ≥1 in 24 | Expected |
|---|---|---|---|
| Base Parallels | |||
| Chrome Prospects Sapphire | 1:1 | 100% | — |
| Chrome Prospects Green Sapphire | 1:6 | 99% | 4 |
| Chrome Prospects Yellow Sapphire | 1:8 | 96% | 3 |
| Chrome Prospects Gold Sapphire | 1:12 | 88% | 2 |
| Chrome Prospects Orange Sapphire | 1:23 | 66% | 1.04 |
| Chrome Prospects Black Sapphire | 1:56 | 35% | 0.43 |
| Chrome Prospects Red Sapphire | 1:112 | 19% | 0.21 |
| Inserts | |||
| Chrome Prospects Padpradascha | 1:551 | 4.3% | 0.04 |
| Autographs | |||
| Bowman Sapphire Chrome Prospects Autographs | 1:15 | 81% | 1.60 |
| Bowman Sapphire Chrome Prospects Autographs Green Sapphire | 1:29 | 57% | 0.83 |
| Bowman Sapphire Chrome Prospects Autographs Gold Sapphire | 1:57 | 35% | 0.42 |
| Sapphire Selections Autographs | 1:93 | 23% | 0.26 |
| Bowman Sapphire Chrome Prospects Autographs Orange Sapphire | 1:110 | 20% | 0.22 |
| Bowman Sapphire Chrome Prospects Autographs Black Sapphire | 1:273 | 8.4% | 0.09 |
| Sapphire Selections Autographs Orange Sapphire | 1:365 | 6.4% | 0.07 |
| Bowman Sapphire Chrome Prospects Autographs Red Sapphire | 1:548 | 4.3% | 0.04 |
| Sapphire Selections Autographs Red Sapphire | 1:1,840 | 1.3% | 0.01 |
| Bowman Sapphire Chrome Prospects Autographs Papradascha Sapphire | 1:2,699 | 0.9% | 0.01 |
| Sapphire Selections Autographs Superfractor | 1:8,996 | 0.3% | 0 |
These are Topps’ official published odds for 2026 Bowman Baseball Sapphire (Standard). A parallel’s rate is for any card in that parallel — a specific player is far rarer. The model treats each pack as an independent draw at the stated rate; real collation clusters hits.
How the Odds Are Calculated
Topps prints the pull rate of every parallel as “1 in N packs.” The calculator turns that into the numbers people actually ask for:
- Chance of ≥1 — the probability at least one of your packs has that card,
1 − (1 − 1/N)^packs. - Expected — the average number across your packs,
packs / N. - Packs to a 50 / 90 / 95% shot — solving the same formula backwards,
ln(1 − t) / ln(1 − 1/N).
Two honest caveats. A parallel’s odds are for any card in that parallel — a specific player is much rarer. And the model assumes each pack is an independent draw at the stated rate; real Topps collation can cluster or space out hits, so a live box can over- or under-shoot.
Disclaimer: Odds are Topps’ official published figures for 2026 Bowman Baseball Sapphire. The calculator models each pack as an independent draw at the stated per-pack rate; real openings vary. Not financial advice.