Delta is a shortcut most traders will use but I wouldnt hang my hat on just that! If it were so good you wonder why they would bother calculating the VIX...
There is like a million ways of doing it, depending on what your are trying to achieve. Personally, I think using a risk-neutral probability is the least useful, since it does not really provide you with any _relative_ value, but simply converts implied vol to probability.
Here's some of today's calculations: AAPL August 600 Calls: Delta: .36 Prob. ITM: 31.46% Impl Vol: 30.20% AAPL August 620 Calls: Delta: .25 Prob. ITM: 21.75% Impl Vol: 29.50%
Must be 3 different formulas for sure. Some of those numbers are pretty far apart. Don't know what the pros and cons are for each, but all 3 are probably (!) OK for a rough guide at least. Thanks again everyone for your comments!