Taking the data took about an hour.
rolling 6 dice from box C rolling 6 dice from box A
shake glass jar; shake in hands;
turn over & count in cover toss in plastic tool box shake glass jar
brown cap yellow cap blue cap     brown cap
total of (ones + sixes) ones sixes ones+sixes total of (ones + sixes)
   
    crooked p(1) best estimate
    p(1) sigma N weight
    toolbox 0.151 0.020 300 0.230769231
mean 2.020 1.930 2.018 1.220 1.200 2.420 1.810 last year 0.219 0.016 1000 0.769
sigma 1.154 1.055 1.232 0.910 0.926 1.032 1.203 1000 dice
N 100 43 57 50 50 50 100 last year's data both 0.203 0.013
p(1 or 6) 0.337 0.322 0.336     0.403 0.302 0.437
2 sigma p 0.038 0.054 0.054     0.049 0.040 0.032
   
2 2 0 1 1 3
2 3 1 2 3 4
1 1 3 0 3 2 -0.999895544
1 1 1 1 2 3 0.000104456
1 1 1 1 2 3
3 1 3 0 3 1
1 2 0 1 1 0
1 2 2 2 4 3 expected p(1 or 6)
2 3 2 1 3 2 0.333 0.333 y
4 3 1 2 3 3 0 12 x
1 0 0 2 2 2
3 1 1 2 3 0
1 1 0 2 2 4
1 4 1 3 4 0
3 1 1 0 1 5
1 2 1 2 3 1
3 4 1 1 2 1
2 1 3 1 4 2
3 1 1 1 2 1
4 1 0 3 3 2
1 4 2 1 3 2
2 2 0 3 3 1
2 2 1 0 1 3
0 1 0 1 1 1
2 3 1 2 3 0
2 2 0 2 2 1
2 2 1 0 1 3
2 3 2 2 4 3
0 4 1 1 2 1
4 3 0 1 1 1
1 2 1 1 2 1
2 2 2 0 2 1
3 3 1 3 4 3
3 3 1 1 2 2
3 2 2 1 3 3
2 1 1 1 2 2
4 3 1 2 3 2
3 1 0 1 1 2
4 1 0 1 1 2
4 1 1 0 1 4
1 1 3 1 4 1
3 1 2 0 2 1
2 1 2 1 3 3
3 jar broke 4 1 0 1 2
3 2 1 3 4 0
2 0 2 0 2 3
2 2 3 1 4 1
2 3 2 2 4 1
2 2 2 0 2 1
3 3 2 0 2 2
1 2 0
0 1 1
3 3 3
3 1 4
2 1 1
1 3 0
0 2 2
2 0 1
2 1 1
2 4 0
2 4 1
2 0 2
1 2 4
2 2 0
0 5 3
1 4 1
2 1 2
2 2 2
1 1 1
1 3 3
1 0 3
3 3 2
2 1 4
0 1 1
3 2 3
1 2 2
2 2 2
3 0 3
1 1 1
1 4 1
1 3 3
1 3 1
1 1 2
0 2 2
1 1 1
4 1 1
3 5 3
2 3 0
1 2 1
2 2 1
5 1 3
3 1 2
1 2 0
5 3 2
3 1 0
2 2 1
4 3 1
2 2 0
3 1 4
4 2 4