What could the hidden labels be?

One synthetic record. Twenty eligible bets, all counted. Four known bluff labels, six known value labels and ten unknown labels. The classified share is 4/10 = 40%.

Every true label is stipulated to be bluff or value; known labels are correct. Real betting intent may stay uncertain even after cards are shown. This workshop assigns no probabilities and makes no prediction.

The observations stay fixed

01 Bluff
02 Bluff
03 Bluff
04 Bluff
05 Value
06 Value
07 Value
08 Value
09 Value
10 Value
11 Unknown
12 Unknown
13 Unknown
14 Unknown
15 Unknown
16 Unknown
17 Unknown
18 Unknown
19 Unknown
20 Unknown

Choose a hypothetical completion

How many of the ten unknown labels are bluff?

Only the unknown labels change below. For display, the first chosen number of unknown IDs become bluff. Other arrangements can have the same total.

4 / 20 = 20%
Hypothesis: 0 of 10 unknowns are bluff. The known labels stay 4 bluff and 6 value.

11 Value
12 Value
13 Value
14 Value
15 Value
16 Value
17 Value
18 Value
19 Value
20 Value

JavaScript is off. The initial completion assigns all unknowns to value: 4/20 = 20%. Assigning all ten to bluff instead gives 14/20 = 70%. The eleven possible percentages are 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.

What remains unresolved

The full-record fraction is bounded by 20% and 70%, in five-percentage-point steps. These bounds cover all compatible label assignments for this complete record under its assumptions. They are not a confidence interval or a future bluffing rate.

There are 1,024 assignments to the ten unknown labels, but eleven different totals. This page does not treat assignments or totals as equally likely. The exact records and code are available in the reproduction guide.

If eligible bets are missing from the denominator, or the known labels are wrong, this calculation does not establish those bounds. An unknown hand is not automatically a value hand.