Probability experimenting

Coin&Die

Coin flips
100 automatically.  3 times

%heads:______  %tails:_______      |%difference|:_____
%heads:______  %tails:_______      |%difference|:_____ 
%heads:______  %tails:_______      |%difference|:_____


10000 automatically.  3 times      

%heads:______  %tails:_______      |%difference|:_____
%heads:______  %tails:_______      |%difference|:_____ 
%heads:______  %tails:_______      |%difference|:_____


100000 automatically.  3 times      

%heads:______  %tails:_______      |%difference|:_____
%heads:______  %tails:_______      |%difference|:_____ 
%heads:______  %tails:_______      |%difference|:_____

As the number of flips increases, the |%difference| ___________.

The Law of Large Numbers: the more times a probability experiment (e.g. a coin flip) occurs,
the more the actual number of occurences approaches the expected theoretical number (e.g. half).

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Die toss   

Each number has a 1/6 = .16̄ ≈ .166666666 chance of being top.

100
%1______ %2______ %3______ %4______ %5______ %6______ 
Sum=_______     
Sum/n=______

1000
%1______ %2______ %3______ %4______ %5______ %6______ 
Sum=_______     
Sum/n=______

10000   don't display
%1_______ %2_______ %3_______ %4_______ %5_______ %6_______ 
Sum=________     
Sum/n=_______

100000  don't display
%1________ %2________ %3________ %4________ %5________ %6________ 
Sum=_________     
Sum/n=________

The Law of Large Numbers: the more times a probability experiment (e.g. a die toss) occurs,
the more the actual number of occurences approaches the expected theoretical number (e.g. one-sixth).


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Sum of two dice.

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


Frequency distribution table. include relative frequency

Sum	Frequency	Rel freq
 2	
 3	
 4	
 5	
 6	
 7	
 8	
 9	
10	
11	
12	

Do the frequency and relative frequency columns look symmetric?:___
Which sum is the mode?:___

*******************************************************************

Dice rolls
#dice: 2   

#rolls: 100      Sum=_______  Sum/n=______
#rolls: 1000     Sum=_______  Sum/n=______
#rolls: 10000    Sum=_______  Sum/n=______

Relative frequencies getting closer and closer to the theoretical probabilities.
Do the frequency and relative frequency columns look symmetric?:___
Rotating these columns 90 degrees makes them look histogram-ish.
Which sum is the mode?:___

Copy and paste 1000 rolls into 
freq dist, histogram, stats ***

n=______ mean=______    median=______   mode=_______
SD=_______
Sketch the histogram of X from 0 to 13, class width of 1:











This distribution sure looks like a ___________ distribution.