It's not "deep maths". It's very simple.

Unless you throw HHH on your first go, then there will be a tails within the first three throws. In which case the person who predicts THH will

*always*win.

So if you miss out on that 1/8 chance to score HHH immediately, then you

*cannot*get a subsequent HHH without

*first*gifting the other player THH - you can't get to your third H without the other player already getting THH on your

*second*H.

So in the long run, you'll lose with a score ratio of 7:1.

Bloody good trick, really love it, but it's not "deep maths", and doesn't relate to the lottery :o)

(Deleted comment)unknownjWell, not exactly.

If I pick HTH then your strategy needs to be to pick either HHT or THT. In either case, my third coin toss

onlygoes ahead the 50% of the time that the second coin toss didn't fulfil your victory conditions.Now for obvious reasons, THT would be a bad choice, since we would have opposing sequences, and actually the trick would cancel out. So I've picked HTH and you pick HHT - smart move.

Now for me to score, I must get HT and then throw an H. So I've got a 1/8 chance of scoring on the first three throws. But so do you.

If we're

beyondthe first three throws, then for any instance of HT, there's a 50% chance that the preceeding throw was an H, in which case you win and the point is over. In the 50% chance that that didn't happen, there's then a 50% chance that I get the H I need in order to score. Which means that for each instance of HT, there's a 50% chance that you've just scored, and a 25% chance that I will go on to score.Which means that we'd end up with a score ratio of 2:1. You still

win, but the effect isn't so pronounced.Which is why he probably tried the trick with a few groups, until he got the one where it works

best. It always works, but to different extents, and he'd want to show off the best one :o)Man it's good to be good at maths :D

(Deleted comment)unknownjBut there

isone where you only win 2:1. On average. Which means that if you play only a handful of times,you might still lose. Odds of 67% aren't exactly great :o)(Deleted comment)unknownjProbably.

But it's not important. What's important is the showmanship that went into it - he spent all that time giving us the whole "wisdom of crowds" thing, which was obviously total bull.. And the one risk in that would be that somebody would say "So then I take it that you proved that they gave you the right numbers, by showing the working afterwards, and that you'd taken the correct set of balls from the case, right..?"

BAM! Illusion is destroyed, because he

can'tprove that.So he comes up with the whole "Or maybe I rigged the lottery". By joking about that, it gets him off the hook when it comes to proving that he used what the crowd said. Hell, he even admits it - he said (with a smug grin) that perhaps he didn't use what they gave him at all! And now that he's trying to keep it ambiguous (with a joke answer), he doesn't have to prove that the crowd thing had anything to do with it.

Absolutely brilliant...

The trick isn't in how he did it. It's in how he convinces everyone else that he did it.

(Deleted comment)unknownjIt requires that the hand-cam is mounted to make sure everything joins up correctly (no movement), and that everything is very fast and controlled.. Still, it's possible.

And yes, that was how I knew that the averages thing would be complete bollocks - you just don't end up with an average of two, it's really improbable..

(Deleted comment)unknownjunknownjAlso, yeah, "I did the calculations myself because we didn't want to know the numbers beforehand" -- oh okay.Ah, but that's the genius of it. Because he's basically said "Or maybe I didn't use their numbers, and just rigged it". So that uncertainty

isin there, but he's taken care of it, by basically saying "Yeah, if I didn't use their numbers, then I guess I must have rigged the lottery - how do you like THAT?!"Brilliant :o)

(Deleted comment)unknownjedand I were talking about running a simulation with one of the decomissioned machines, to see what weight imbalance would be required to guarantee an outcome (I don't think 20% would be enough to make certain of all six).I think they were satisfied that it worked based on the trial runs they did.. And then his apparently getting it right on the night.. He said "this is what success looks like" and then showed it to them - of course they'll think it was them :o)

edunknownjOr at least, that he basically set up the false dichotomy of "either this bullshit average stuff happened, or I rigged it" with the expectation that your only logical conclusion would be the latter :o)

(Deleted comment)unknownjLet me put it like this. You bet me that you can throw a coin twice and have it come up Heads-Heads. I tell you that if you throw a Heads, I'll take the coin and go home. Even though Heads-Heads still has a 1/4 chance

in theory, in practice you'll never achieve it because the game will end before you get the chance.(Deleted comment)davedowns