The fact that neither of us could even get 10.00 on the stopwatch even while carefully watching the time made my twice doing it without looking verge on the psychic. But when you say it your way, you make me think. Suppose I could reasonably get within 2.5 seconds of the 10:00 I'm aiming for (a conservative estimate); since there are 500 hundred possible outcomes in that case (5 seconds divided by 1 hundredth of a second), the odds of getting two in a row is 1 out of 250000, which is huge, but not astronomical. And that's not considering that I, in my situation, had four tries, which probably decently improves my odds.
So yeah, I'm okay now considering it like you are that it was a freakish, albeit spooky, coincidence.
I think your +/- 2.5 second window is too generous. I just made 10 attempts here:
https://vclock.com/stopwatch/#enabled=0&msec=9877 and got:
9.52 0.48
9.40 0.60
10.50 -0.50
11.01 -1.01
8.43 1.57
9.17 0.83
10.45 -0.45
8.43 1.57
10.68 -0.68
9.87 0.13
not more 1.57 off S, and most are closer. And oddly(!), two were the exact same number. My average (absolute) error was 0.78 seconds. And stdev of the errors was 0.91 (small sample, would probably tighten with more). So I'd expect more than 68% of my tries to be within 0.9 seconds, so that's more like 1 of 180 tries (264 taking the 68% into account)? So 4 tries gives 1056 chances, getting 2 of them takes it to 1 528. So out there, but not astronomical. Stuff happens.
I couldn't completely clear my mind, I sort of counted one way or another, but maybe you were unconsciously doing that somehow?
I recall working on a project where we had to assign random numbers to some attribute. One of the (very smart) guys I worked with suggested we just make it easy on ourselves and plug in zeroes. He said " that's random - sometime, somewhere". Can't really argue with that, but I don't think the customer would have been happy!
I don't recall if we discussed this, but if a person does a decent job of shuffling a deck of cards, it is almost certain that the order of those cards in the deck has never occurred before in the history of cards, and almost certainly never will. Seems hard to accept, but start multiplying 1/52*1/51*1/50, etc, and you get numbers that are estimated to be greater than the number of grains of sands in the world. Mind boggling. Probabilities are not obvious to most minds.
By the time you've drawn even ten cards, the order is already less than 1 out of 5.7 with 16 zero behind it. Or... 57,407,703,889,536,000. Already almost as many as grains of sand on the Earth, at just 10 cards. Twelve cards takes you over that.
https://www.npr.org/sections/krulwi...r-of-sand-grains-on-earth-or-stars-in-the-sky
"the Earth has roughly (and we're speaking very roughly here) 7.5 x 10^18 grains of sand, "
Just four cards drawn are unique to about 1 in 6.5 Million!
-ERD50