I did have a torch, but it was one of these wind up thingummies, which had very diminished brightness, so that I had to be perpetually winding it.
I've never found a windup torch that doesn't seem to diminish massively if you don't keep winding it...to be expected I guess. But yeah, I always take it and my petzl to be safe
though if you play along with him, given that they could do numbers <1, >49, there's no expectation of them being around 24.5 anymore, so..
Ah, I forgot when he said that. And if they really were picking utterly random numbers, instead of being actors, then there's no reason the averages would all be 1-49.
For you and any other nearby mathmos: does the "switch the middle number and put it in front" thing work? My intuition and some half-baked reasoning says yes, presuming a continuous flipping of coins, but I'm pretty crap at common-sense probability.
For you and any other nearby mathmos: does the "switch the middle number and put it in front" thing work? My intuition and some half-baked reasoning says yes, presuming a continuous flipping of coins, but I'm pretty crap at common-sense probability.
yes.
it should be pretty obvious why it worked in the particular case they showed:
the guy has HHH, derren had THH.
presumably they restarted the game after a point was scored.
so if the guy wanted to win, he needed to get 3 heads from the start, otherwise derren HAD to win. (since if a run of heads starts after a tails, derren needs 2 heads to win, the guy needs 3).
SURELY everyone in the room (when they were playing the game) must have figured this out very quickly...
For you and any other nearby mathmos: does the "switch the middle number and put it in front" thing work? My intuition and some half-baked reasoning says yes, presuming a continuous flipping of coins, but I'm pretty crap at common-sense probability.
Yes, it does. A quick and non-rigorous explanation of the case they showed:
In order to get HHH first, you need to get it in first time (so a 1/8 chance). If you throw a tail at any point, the best you can hope for is THHH, in which case THH wins first.
it should be pretty obvious why it worked in the particular case they showed:
the guy has HHH, derren had THH.
presumably they restarted the game after a point was scored.
so if the guy wanted to win, he needed to get 3 heads from the start, otherwise derren HAD to win. (since if a run of heads starts after a tails, derren needs 2 heads to win, the guy needs 3).
SURELY everyone in the room (when they were playing the game) must have figured this out very quickly...