Coin flip


Number of Heads: % Run of heads: Max. run of heads: Max. heads ahead:
Number of Tails: % Run of tails: Max. run of tails: Max. tails ahead:


    Display flips? Yes No

Means of coin flips


#coins: #flips:

Number of heads: (=mean if H=1,T=0)

Sum of 2 dice

+ 1 2 3 4 5 6
  1  
  2  
  3  
  4  
  5  
  6  

sum frequency relative
frequency
2
3
4
5
6
7
8
9
10
11
12

Die toss

Alea jacta est


#1s: %
#2s: %
#3s: %
#4s: %
#5s: %
#6s: %


    Display rolls? Yes No

Means of dice rolls

#dice: #rolls:

Sum=
Means:

Means of non-uniform dice rolls

Probabilites of 1,2,3,4,5,6:
     Try this: .5 .25 .125 .0625 .03125 .03125
#dice: #rolls:

Sum=
Means:

Sums of [non-uniform] dice rolls

Probabilites of 1,2,3,4,5,6:
     Try this: .16666 .16666 .16666 .16666 .16666 .16666    μ=3.5 σ1.2861.
     Try this: .5 .25 .125 .0625 .03125 .03125    μ=1.71 σ1.286
#rolls:
#trials:

Sums:

Try 100 rolls, 1000 trials of uniform dice and also of the non-uniform. See the histograms. CLT: σ→√k

Dice rolls

#dice: #rolls:


Dice rolling theoretical probabilities

#dice:
Dice:
Sums: