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Math game...

TOG said:
I think I understand now. Are you saying that 1-4-6 and 3-5-14 both follow the same rule, but have different starting points, sort of like 1-2-4 and 3-6-12 both follow the rule of always doubling the previous number, but they have different stating points and are not part of the same series?

The TOG​
Click to expand...

Hmm I think you're onto something there TOG.
 
Yes. You said it better than I could, thank you.

Also - agua knows the rule. He didn't want to post it but sent a PM to me instead.
Care to guess a set of three?
 
Yes, that's the rule.

This experiment (with multiple participants) didn't quite work as I expected but yes, that's it.
 
I hope you don't mind me borrowing you thread Sparrow I think we should continue the puzzlin'.

You are facing a death penalty and have the chance to escape alive by playing Russian roulette with Charles Manson ( or some notorious criminal ). A 6 shooter is loaded with 2 bullets in consecutive chambers and the barrel spun. Charles takes the first pull and gets a "click".

You are given the option of spinning the chamber or not before pulling the trigger.

What will you do and why ? tic tic tic.

( please show working )
 
agua. said:
I hope you don't mind me borrowing you thread Sparrow I think we should continue the puzzlin'.

You are facing a death penalty and have the chance to escape alive by playing Russian roulette with Charles Manson ( or some notorious criminal ). A 6 shooter is loaded with 2 bullets in consecutive chambers and the barrel spun. Charles takes the first pull and gets a "click".

You are given the option of spinning the chamber or not before pulling the trigger.

What will you do and why ? tic tic tic.

( please show working )
Click to expand...

That's an interesting problem. I did the calculations and the answer wasn't what I expected. I'll let someone else try first before I post my answer.

The TOG​
 
I don't know this particular problem or the math but in Gaming Theory there is a principle that basically states, "Stay with the known."

So no, don't spin the chamber.
 
In the case of non consecutive chambers, it would make more sense to spin. 2 out of 6 chances with a spin, 2 out of 5 chances with no spin.

Ah, but the chambers are consecutive. That's a bit more complicated...
 
The 2nd round is eliminated as a possibility when the first chamber is shown to be empty (assuming the first round was not a dud).
 
This leaves 3 empty chambers plus one full chamber as possibilities. One out of 4 chance of an empty with no spin, versus a 2 out of 6 chance with a spin?

In real life though, the weight of the rounds may prevent a completely random spin. Gravity acts on the rounds, potentially moving them toward the bottom, or maybe just beyond. I am not quite sure how to account for this possibility via modeling.

Of course, a clever prestidigitator might simply palm the rounds before spinning, and then reinsert them before passing over the revolver. So we must then ask if Chuck has any skills in that area. ;)
 
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