Undecided on title

After the consultation last week, I've decided to stay with the subject of gambling in relation to mathematics. However, after doing some research online I realised that gambling is a topic too wide. There's a need to narrow down the scope to make my life easier.

I've deduced 2 possible titles, the first being the original "Gambling - Mathematics or Luck?" and "Will Mathematics help us win in gambling?".

In the first title I find it being too broad of a topic, in the sense where-by we would have to delve into the various types of gambling and how mathematics has it's stand in gambling. This would allow me to meet my word limit easily but would make life very difficult in doing research and stuff. And like Hao Quan mentioned, with too much Mathematics it would make the paper very alien to others.

The latter would help me narrow down the scope to how mathematics would help one win in gambling. I figured this would be easier and more interesting as it will relate to most of us. Or would you guys think writing from the perspective of the player is better?

A brief outline and key points would be as follows (more to be added, research in progress)

Introduction - contains the general introduction as will as defining a few key terms like "House Edge","Expected Value" that are commonly used when discussing about gaming mathematics.

Body

1) How does house edge work?

2) Chance gaming and Chance with skill gaming

3) Gambling Fallacy/Monte Carlo Fallacy - assumption that an event becomes more likely every time it fails to occur.

4) Are gambling events dependent or independent of each other?

5) Betting Systems - will they work against house edge?

ie. Martingale – A system based on staking enough each time to recover losses from previous bet(s) until one wins.

6)Ideal World vs Reality

7)Imperfect Randomness
8)Black Swan Theory – Limits Of Statistics

(6,7,8 will have links)

9) Human Behavior – ability to make judgement?

“casino games are designed mathematically and psychologically to keep you playing long enough that you lose all your money"

Comments needed!