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 Feb25 revised Stars & Bars Method With Binary Numbers that Could Be Negative edited title Feb25 asked Stars & Bars Method With Binary Numbers that Could Be Negative Jan20 comment Unlikely Events - Where does the Natural Force of Mean Reversion Kick In? I understand turkey, I understand what your saying but still... What does it mean for something to be an average of a 50 heads on a game of a 100 coin flip with a $stdv=sqrt(np(1-p))=+/-5$. We are simply saying if we play this game of 100 flips thousands of times that 68% of the outcomes ( numbers of heads at the end of the game) should be be within 95 and 105. but it doesn't mention how far outliers outside these bands can continue running. Or if they at some point will ever revert back to within what the numbers intially predicted before the simulations were ran. Jan20 comment Unlikely Events - Where does the Natural Force of Mean Reversion Kick In? Ha! Your funny paw but for this scenario the coin is fair, we are just looking at one scenario of an incredibly low probability event. What is mean reversion, this is what I want to know if nothing is anchoring the number of heads from going to a full 100. Jan20 asked Unlikely Events - Where does the Natural Force of Mean Reversion Kick In? Dec22 comment Distribution of Cumulative Heads in a Coin Flip Game I used excel. This is the function I used. =if(rand()<.5,1,0). I am 100% confident it has nothing to do with the number generation. Dec22 asked Distribution of Cumulative Heads in a Coin Flip Game Dec18 comment The probability of Breakeven On a Coin Toss Game Ha! Let's forget about the consequences if we don't pay the loan shark for the moment and go the heart of the question, should you keep betting? The probability of a H-T on each flip 50-50. So I can understand that picking Tails on each coin flip shouldn't make a difference. OR...... you can look at from cumalitive perspective. What is the probability I get TTTTT on 5 coin flips, Ans(1/32). What is the probability of getting p(HHHTT), answer 10/32. Dec18 comment The probability of Breakeven On a Coin Toss Game Ha! Ya, lets assume no harm can be done to you and the interest is a fair one. Let's just ignore that in this case. Dec18 asked The probability of Breakeven On a Coin Toss Game Nov27 comment Taking a Derivative of a Random Variable $f$ is a real number. It's the value I am trying to maximize. $w$ is the random variable. Nov21 asked Taking a Derivative of a Random Variable Sep1 revised Computing Fast Fourier Transform in R added 23 characters in body Sep1 comment Computing Fast Fourier Transform in R Yes, the stat program. sorry about the confusion, i'll make the edit. thought this forum would be more apt than stack overflow because it really is more of a math question. Sep1 revised Computing Fast Fourier Transform in R added 63 characters in body Sep1 asked Computing Fast Fourier Transform in R Aug20 awarded Popular Question Jul2 awarded Curious May19 comment Interesting Probability Game With Uneven Return Scenarions They don't sum to 1, they sum to .981921(etc) May19 revised Interesting Probability Game With Uneven Return Scenarions added 60 characters in body