Rank Score Distribution & Positivity Analysis
Answering key cribbage math questions: Which ranks perform best across all 2.59M 5-card hands?
🔍 Question: Are there any other ranks besides 5 where a 5-card hand including at least one of that rank always scores positive?
Answer: NO. 5 is the ONLY rank in cribbage with 100% positivity!
For every rank other than 5 (Ace, 2, 3, 4, 6, 7, 8, 9, 10, Jack, Queen, King), there exist valid 5-card cribbage hands containing that rank that score 0 points (19-hands).
📊 Full 13-Rank Analytics Table
Sort By:
| Rank | % Positive Hands | Expected Value (EV) |
Always Positive? |
|---|---|---|---|
| Rank A | 90.65% | 4.33 pts | NO (Can score 0) |
| Rank 2 | 91.96% | 4.55 pts | NO (Can score 0) |
| Rank 3 | 90.54% | 4.68 pts | NO (Can score 0) |
| Rank 4 | 91.84% | 4.69 pts | NO (Can score 0) |
| Rank 5 | 100.00% | 6.38 pts | YES (100% >= 2 pts) |
| Rank 6 | 91.19% | 4.62 pts | NO (Can score 0) |
| Rank 7 | 90.19% | 4.52 pts | NO (Can score 0) |
| Rank 8 | 92.98% | 4.53 pts | NO (Can score 0) |
| Rank 9 | 92.67% | 4.42 pts | NO (Can score 0) |
| Rank 10 | 87.78% | 4.35 pts | NO (Can score 0) |
| Rank J | 90.85% | 4.48 pts | NO (Can score 0) |
| Rank Q | 88.18% | 4.23 pts | NO (Can score 0) |
| Rank K | 86.64% | 4.03 pts | NO (Can score 0) |