Coin Flipping: Can We Determine Outcomes?

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Consider the example of flipping of a coin. There are only two inputs. The output may be different each time you flip the coin. The head and tail will not appear simultaneously but randomly. Is there a function set which can determine the outcome of the flipping process?
 
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paragtam said:
Consider the example of flipping of a coin. There are only two inputs. The output may be different each time you flip the coin. The head and tail will not appear simultaneously but randomly. Is there a function set which can determine the outcome of the flipping process?

Look up the discrete uniform probability distribution where a=0 b=1 and n=2 for each independent trial of a fair coin.

EDIT: For the probability of any given ratio of heads and tails after n trials, look up the binomial distribution.
 
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Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
Thread 'Detail of Diagonalization Lemma'
The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.

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