If you can't dazzle 'em with brilliance, baffle 'em with bullshit.
Oh, they care! They just may not know.
The probability of a given move is the basic calculation.
POP is just the P(move) done to the break-even point. (Interpolate as necessary.)
P(OTM) is the P(move) to a particular strike.
P(ITM) is P(OTM) minus 1.
There is no difference to any introductory confidence-interval lecture, in choosing how far out of a move to evaluate. These all depend on a
context-driven volatility to mark σ (or σ²) from your favorite summary statistics course. No differences; no magic, beyond that.
And no need to wank about with European vs American options (excuse me, "
barriers") when there's 50 years of academic papers cutting the differences to
zero. 
Or, in the alternative, you could just check spread prices.



"D'Oh!"