Originally posted by Gordon Gekko
that was a good explanation...thanks.
will you take the next step and try to explain the stock market? 
by that, i mean...if you were to find the #1 stock in the nasdaq with the most number of down days of the last 100, would that influence you to go short? would it make you hesitate to go long? what i want to get at here is... in the 50/50 example, we know what the probability is. how do you handle the stock market? if we figure out what % of the last 100 days are down, can we get from that some type of probability for future trades? or are past results not indicative of future results? would there be some value or no value at all? if there is no value at all to that, what kinds of entries can their possibly be that are actually better than random?
this will lead me to my next question... if we can say that previous price movement does not necessarily predict future movement, why do people like to find trends? could they not just end as soon as you get in? same goes for chop....say you have 2 trading systems, one for trending and one for chop. what is the point of switching systems when you have no idea if chop or trend is going to happen next?
for the record, i do not believe the markets are random. as i've said previously, i think markets are chaotic systems. that being said, how the hell do you deal with it? i've learned to not make predictions. i also accept that anything can happen at any time. however, after knowing this, what can you do? what kind of entry can be good if we have no idea what is going to happen? i know you would go with the highest probable entry, BUT HOW DO YOU DETERMINE WHAT IS HIGHLY PROBABLE WHEN PREVIOUS PRICE DOESN'T PREDICT FUTURE PRICE? as in the example of the stock with many down days, if we can't use that to find a good short entry, what CAN we use to find a good entry?
First, I will state I am currently not an active trader and am also seeking a method to effectively learn how to trade.
Gordon, It appears you are somehow attempting to take the original question and somehow apply it to the stock markets. It is an exercise in futility.
The question posed is based on simple mathematical principles in an environment that does not exist. In other words the question is more for discussion than something that will actually benefit you in developing a system to trade. I say this because the question revolves around a completely random environment and we both agree the markets are not completely random, therefore the question is useless past its basic mathematical principles.
Don't get me wrong, it is always good to seek knowledge and understanding, but in many instances what is learned has no relevance in application.
Using the original question and your follow up regarding the #1 stock in the NASDAQ with the most down days out of 100 days. No, it would not influence my decision one way or another as the odds would be exactly 50%. If you take 50 pennies and flip them each one at a time and each time one turns up heads you disqualify it. Eventually you obtain the one penny that has turned up tails more than any other penny and is the only penny not disqualified. This is much like your #1 stock as far as down days, it is the only penny that has survived. The odds it turns up tails on the next flip is still 50%.
To answer your question regarding why people follow trends. Simple, the markets are not random and they use multiple indicators to determine which direction a stock is likely to move. Your questions revolve mainly around the use of a single indicator. Obviously not guaranteed, but by using multiple indicators they feel comfortable with, they attempt to gauge future direction. Then they use risk management techniques to cut their losses and allow their winners to run. In some systems it means they must be right a high percentage of the time in regards to price movement, in other systems they can be stopped out several times, but when they are right the profits are enough to offset their losses.
Past price predicting future price is debatable, but some would state past prices can form support and resistance levels, therefore supporting the notion that when a past price is reached the future direction can predicted with a higher probablility of success.
As stated above I am not an active trader, but hopefully my answer will help a little.