I can't answer the question accurately, but I would say every 20 - 30 times I go to start it when i go somewhere, it behaves this way. I sit around a bit, fiddle with the gear shift, try it some more, sit around some more, call AAA, get frustrated, try again, wait for AAA, try it again, and for no reason (after more than an hour) it has usually started again, although I have had it towed and then it started when the tow truck left. This has been going on now for over 6 months.
I have never tried a test of simple starting and shutting off repeatedly in my driveway, because it seems that it always starts if it was just shut off. the times it doesn't start are after it has sat for a few hours.
thanks - does this sound familiar?