Quote from intradaybill:
A Markov process such as the one you described is memoryless.
http://en.wikipedia.org/wiki/Markov_process
It can be proven if P(a)*p(b)=P(A intersect B)
I don't believe this is something you can conclude on face value. By the way if you've ever waited for the market to hit your bid and then keep chasing it to have only missed beautiful price run, you can at least imagine how his example would hold.
haha. I actually lol'd at this one. Thanks for the late night laugh.