Difference Between Mathematical Probability & Common Sense 
Possible Duplicate:
Does the likelihood of an event increase with the number of times it does not occur? 

I'm seriously thought about probability of pitching pennies.
Suppose that you threw the coin 10 times.
The results are below.

  
*
  
*$front$
  
*$back$
  
*$back$
  
*$front$
  
*$back$
  
*$front$
  
*$front$
  
*$front$
  
*$front$
  
*$front$
  

Now, you will throw the coin one more time.
Let's think about probability in this situation.
I thought that It will be more probability in "$back$" side than "$front$" side.
but, Mathematically, It still equal probability in both side.
What's the problem?
 A: The odds of flipping a coin and it being front 6 times in a row is very low however this is not the bet you are making.
The bet you are making is what are the odds of flipping a front 6 times in a row given the fact that there were 5 previous fronts.  That probability is 50/50.  You can draw out the tree for 6 coin flips and you will realize that of the end nodes 50% are front and 50% are back.
Another way to say it is they are Independent Events
A: As long as you're dealing with a fair coin, I think you've fallen for the Gambler's Fallacy. There's no reason to think that the coin is due for a certain outcome because it hasn't happened often enough.
A: At least I would interpret the statement

Empirically, It will be more probability in "back" side than "front" side.

as a statement about what I think is known as the empirical distribution associated to the sample you gave (intuitiviely this is simply the best guess you can make from just observing a sample), rather than the distribution you assume the sample to be taken from. 
If interpreted like this, the statement that one outcome is "empirically" more probable than another simply means that you have observed that outcome more times, saying nothing about the distribution you assume the sample was taken from.
A: The problem is in the Law of large numbers (wiki page) and due to the fact you coin is fair.
