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      1 # Bernoulli Process
      2 
      3 Prob L13
      4 
      5 **Definition:** A Bernoulli process is a sequence of binary trials (random variables).
      6 
      7 As such, sample space are all possible sets of outcomes confined to a certain number of trials.
      8 
      9 Given that a bernoulli process must be memoryless, we can then derive that each trial must have equal probability otherwise each trial would not be independent.
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     11 Ie.
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     13 Sample space of 9 coin flips:
     14 
     15 000000000
     16 000000001
     17 .........
     18 .........
     19 .........
     20 111111110
     21 111111111