✦ Duel Analytics ✦
Opening Hand Calculator
Hypergeometric probability — starters & bricks in your opening hand
Parameters
Deck Size40 cards
4060
Turn Order
✦ Starters
Golden Zone (85%+)
12
starters needed
85.1% open rate
Starter Reference
3 starters33.8%
6 starters57.7%
9 starters74.2%
12 starters85.1% ✦
15 starters91.9% ✦
18 starters96.0% ✦
Starter Open Rate
Open Rate
Golden Zone ≥85%
✖ Bricks
Max Safe Bricks
3
brick limit
66.2% clean hands
at ≥66.2% threshold
Brick Reference
1 bricks87.5%
2 bricks76.3%
3 bricks66.2%
4 bricks57.3% ✖
5 bricks49.3% ✖
6 bricks42.3% ✖
8 bricks30.6% ✖
10 bricks21.7% ✖
Clean Hand Probability
Clean Hand %
Danger Zone <66.2%
P(clean) = C(N−B, n) / C(N, n) · Hypergeometric Distribution