In the table below the first four tosses in an infinite sequence are represented.  After the first four tosses all the coins fall tails and all the values of pi(T) are zero. Values of pi(T) are shown in bold and the probability of the sequence is shown underneath in regular font.  Values of T are shown in the bottom row. The upper and lower bounds before the first coin toss and after each coin toss are illustrated for T = 15/81.  

 

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0

1/3

1

2/3

0

0

1/9

0

1

2/9

1

0

2/9

1

1

4/9

0

0

0

1/27

0

0

1

2/27

0

1

0

2/27

0

1

1

4/27

1

0

0

2/27

1

0

1

4/27

1

1

0

4/27

1

1

1

8/27

0

0

0

0

1/81

0

0

0

1

2/81

0

0

1

0

2/81

0

0

1

1

4/81

0

1

0

0

2/81

0

1

0

1

4/81

0

1

1

0

4/81

0

1

1

1

8/81

1

0

0

0

2/81

1

0

0

1

4/81

1

0

1

0

4/81

1

0

1

1

8/81

1

1

0

0

4/81

1

1

0

1

8/81

1

1

1

0

8/81

1

1

1

1

16/81

0/81

1/81

3/81

5/81

9/81

11/81

15/81

19/81

27/81

29/81

33/81

37/81

45/81

49/81

57/81

65/81

 

 

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