Argh, I just noticed it's an options thread. But your question sounds more like a basic trading probability question.
If so, here's some background.
Go back to basics. If you flip a coin a thousand times and you get 500 heads, what is the probability of getting heads?
P(h) = number of heads/ total flips = 50%.
That is the probability of getting heads in the long run. Regarding stocks, you can say if you had 1000 trades and 500 were winners, your probability of wins is, P(w) = 500/1000 = 50%.
The problem is, this doesn't say much by itself. It doesn't tell you how many winners you will have in a row (sequential), nor does it tell you whether it's a good result. You could have 900 winners out of 1000, with a 90% probability of winning, and the 901st trade could bankrupt you if you bet it all.
When people start talking about distributions, it's because the market is not binary like a coin toss (only 2 outcomes head or tail, winner or loser).
You might ask what is the likelyhood of a 3% loss day. That is where you run a histogram of all the daily historical ranges, and if the distribution looks normal, you can get a rough feel for probabilities or likelyhoods of a 3% downday using properties of a normal distribution (obviously real markets aren't exactly normal, but it's a close approximation). There are numerous books that look at what type of probabilities are useful in trading and backtesting. Win/Loss and Risk/Reward are other metrics, whereby you generally want greater reward/risk trades, so that in the long run, you will be up over time. Then there are other things to look at like position sizing and optimal position bets to make, these also use probability formulas as input
(look up kelly and optimal f position sizing).
Probability is a useful tool in backtesting and looking for edges, but there is more to look at then simple probability of winning trades. Go get a good book on systems testing, like
http://www.amazon.com/Trading-Syste...bs_sr_1?ie=UTF8&s=books&qid=1195843594&sr=8-1
if you want to start understanding more about what people are referring to when discussing probability in trading.
Regarding options, probability is generally used to determine future price ranges approaching expiration by looking at past historical volatility and extracting probabilites about how far the price will move in the future. However, the market prices in "implied volatility" which is a whole different dimension/discussion, which adds to that model but is more difficult to predict. Ultimately, you are taking in all of the past volatility information and trying to use probability to determine how likely your trade will be profitable.
If you are more interested in probability applied towards options try:
http://www.amazon.com/Mathematics-O...bs_sr_1?ie=UTF8&s=books&qid=1195844764&sr=8-1
Both books are geared a bit more towards the mathematical/quantitative side if that's your thing.