I've made a card trick off my own.

It's a work in progress, so we'll see how it goes.

I've made a prediction on my prediction is going to be guarded by the jack of hearts.

Look who it is.

Yes, the James of Hearts.

So this card trick involves the ace.

23456789 10 of spades.

Brady On my volunteer for this, I would ask you to shuffle this up so it's unfair.

But you're happy to shuffle no one of these Vegas style.

Are you happy that that pack was shuffled?

Brady?

Yes.

Excellent.

I'm going to try and make it even law.

Happy.

That got completely free choice.

There's gonna give you some choices as we go along.

We're gonna deal this out.

So we have five cards each, so I'm just gonna give you some choice.

Do you want the left or the right?

Right.

I have the right.

I'll have the left.

Do you want the left or the right?

You have the right again.

Yeah.

I'll have to let me know.

I believe it doesn't matter.

I can show you.

Do you want the five of the seven.

You have five.

I have seven.

You want six or the eight?

Six you're having six.

I'll have the age.

I mean, there's an ace.

Said you want it?

Yes.

OK, Right.

And I'll take one of his left.

Okay, tend to see what we've got.

So we've got five cards eat.

Also, I want to arrange them in order, so I'm gonna ask you to arrange them.

Smallest to largest smallest on the left, to the largest on the right.

I'm doing the same.

So we got two sets of five.

I've got 3789 10.

You got a CE 245 and six.

Happy with that?

We've made five pairs.

You happy with that as well?

And I'm gonna mark the difference with some red cards.

So let's look at the first pair.

Six and three.

Well, what's the difference between six and three on the market as a three.

The next pair is a 5 to 7.

Well, the difference is a two different stream for 18 Our market with a red card is a four on different string.

Two and nine are market with a seven on an ace and a 10.

I'll mark that with a nine on DSO.

I've got five red cards now.

What do they add up to?

16 2025 25.

So we have a look at our prediction over here being guarded 25.

Now, did you feel like you had a free choice?

You feel like they could have gone in any order?

Did you feel that?

I could have been any total.

I felt like when you started telling of over and giving me one to choose and stuff that maybe you were starting to play funny.

Interesting.

So that was all misdirection, actually, on my part.

It actually doesn't matter which way I deal these out to you.

I'm gonna have five cards.

You have five cards and the answer is always going to be 25.

That's gonna be fixed as always, Going to be true.

So it's a mathematical effect called pro civil off identity.

It is a mathematical affect.

A lot of magic tricks are maths effects rest up.

I'm going to make an appeal to any magicians watching this video.

Can you find a way of using this effect?

That's perhaps better than what I was trying here.

Only interested in him.

A more interesting way to dress this up to present this.

I'm gonna talk about the effect itself, but I would be really interested in finding a lovely way to dress it up as a magic trick.

But let's look at the effect itself.

So we had the 8 to 10 and we were shuffling up.

It doesn't matter what order they're in.

And then we were dealing them out 55 and again, it really doesn't matter.

So his five for you, his fire for me.

And then we were ordering it.

So doing, smallest the largest.

By the way, total number ways.

We could have arranged these cards.

Then, in this magic trick 126 there's 126 different ways we could have arranged these sort of five and a set of five, but now we're going to arrange them in order.

So I'm rearranging my cards on dhe.

You're doing the same like you.

They were going from smallest to largest left to right.

From my point of view, I've got my cards going smallest to largest on your car's air.

Going large is the smallest in my side.

There in ascending order, your side, their in descending order.

And then we were marking the difference.

Nice thing about this trick is we're looking at the differences now.

You're never gonna get three values the same three values arm, or you can get two values the same.

So the red cards should be enough to mark out the differences that that worked out nicely.

Impossible to get 345 Same.

Let's do it again for this trick.

Let's see if we get the same total talk about five.

This time I've got a one.

I've got a forest seven.

So that's a difference of 32 and a nine of difference of seven on an ace and a 10 difference of nine.

And if we add up these values, I've got to be 25 again.

So why does this work?

Some people watching this might want to go away and try and prove for themselves that this is always 25.

This always works on.

You're welcome to do that.

If you want a pointer, just get you going.

This is the important thing to notice.

We have these five pairs that we've made.

Each pair contains a big card and a low card.

What do I mean?

I mean a big card is greater than five, and a low card would be less than or equal to five.

This pair isn't eight and three, which is a big and small.

This pair was a five and a six and this was the big and the small was over here big and a small, big, small, big, small.

And even if one of us had at all the big cards that still worked out, he was still worked out.

So the first thing we need to show is that always true.

Let's just ignore the values I've got here and then misters.

Imagine this pair.

They're both lesson or equal to five.

They're both small cards, and this argument is gonna work for any pair that I pick those air too small cards automatically.

I know that's a small card cause it's on the left, and it was smaller automatically.

I know those are small cards goes on the left, this one which are automatically smaller.

Now that's a look.

I've got six small cards, six small cards, which are meant to be less than or equal to five.

That's impossible.

That argument will work with any pair on.

That argument.

Will work with cards that are greater than five.

We had a pair that we're both big.

You would have the same problem.

That's it.

That's your proof.

There.

Every pair will have a big card on a small card.

Great.

Now let's have a look at the next step.

I mean, I don't know what order these pears are gonna be in, but it's called in big and small, So I got a big card.

One.

There's always the big value, minus the small value.

We're always having the positive value being the difference.

So it's always going to be the big value, minus the small value for the five pairs that we made.

I don't know what they are exactly, but it is.

The effect is adding a ll the big values together and subtracting all the small values.

So we're not that far away from the answer.

Then we just rearrange it.

We know that we handle the big values.

The big values are six for seven years, eight plus nine plus 10 subtracting their small values minus one minus two minus three minus four.

Minus five On that is 25.

So he will always be 25.

Couple of ways to extend this.

We don't have to use the values 1 to 10.

What happens if I used values 1 to 12 or 1 to 41 to 100.

Well, it turns out your answer will be fixed as well again.

It doesn't matter how you arranged the cartel.

You split it all up.

We do that process, we get the same value.

What's that value going to be?

You might wanna have a look for yourself, but I'm gonna tell you what it is.

Do the general example.

We're gonna go.

123 These are cards and they're going to go up to There's gonna be a car that's called it N, and then it's gonna go N plus one empress too.

We're gonna go all the way up to two men.

These are cards, then the whole argument works just the same.

So this final step here when I addle the big values and subtract all the small values, it's gonna be exactly the same.

These are the big values here.

M plus one plus and plus two and they will carry on to end.

And then we're gonna subtract all the small values minus one minus two, minus three minus minus and, well, what's that?

You can think of it this way.

N plus one minus one and plus to minus two M plus three minus three.

Each pair would then have a value on that end and and and lots off and it's n squared.

The value will always be n squared in my example and which come the midpoint was five.

So the answer was 25 5 squared.

And now the over that will twist to this.

The numbers don't have to be consecutive.

So my examples 1 to 10.

They don't have to be consecutive.

They could be prime numbers or square numbers or any selection of random interviews.

If you want on dhe the value, I don't know what the value is going to be, but the value would always be fixed.

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Give them a look and again audible dot com slash number, file or text number 5 to 505 100 Thanks to Audible for supporting this episode, riffle shuffle is this guy riffle?

Um, together is the way we say it.

They sometimes do it on the table.

This way.

You know what a casino dealer will do will do that.

That's riffle.

This is called over hand and the other one I call smooshy.