

Nevbar1 New user 5 Posts 
Hi all, Just wondering if anyone can explain the mathematics of Bob Hummer's Little Stranger trick (aka the pocket trick). I understand the mechanics of the trick  just trying to fathom the mathematics. I can see some sort of connection/logic to the key numbers used in the trick but just can't seem to gain a true understanding of WHY the trick works. Has anyone unpacked this trick or found a site/paper that does?

saxonia Regular user 105 Posts 
In the first round, let B be the number of black cards that go to the left pocket, so 15B cards go to the right.
In the second round, the spectator takes 15B cards. This means that 52(15B) remain. Hence, when we know the number of remaining cards (blacks and reds taken together), we can easily find out B. So, from the number of remaining cards alltogether we can already conclude the number of cards in the hip pockets. Once we know how many reds and blacks are in the hip pockets, and we know how many blacks and reds are in the remaining stack, we know how many reds and how many blacks are missing. Those are in the pants pockets. 
federico luduena Loyal user Buenos Aires, ARG 202 Posts 
Barrie Richardson published a very interesting version in Act Two. It uses a bag of marbles and it's called "Marble Memories" (p150).

Nevbar1 New user 5 Posts 
Quote:
On Mar 27, 2020, saxonia wrote: 
Nevbar1 New user 5 Posts 
Thanks for the response. I was more intrigued with piles c and d. I couldn't see how the counting identified the number of colours in each pile. However, a bit of a quite moment during this lock down and a tiny dose of algebra has now sorted it. Thanks for your response.

Nevbar1 New user 5 Posts 
Quote:
On Mar 29, 2020, federico luduena wrote: 
Nevbar1 New user 5 Posts 
Thanks for the response. I'll look this up.

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