this post was submitted on 30 Nov 2024
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No using search engines or calculator, just imagine you were given these choices in jail and got 30 seconds to choose.

Would you rather have the executioner (Please excuse my use of firearm terminology, I'm not an expert in guns):

[A] Load 1 chamber of 6 and spin before pull the trigger 6 times (spinning the chamber after each pull)

or

[B] Load 2 chamber of 6 and spin before pull the trigger 3 times (spinning the chamber after each pull)

or

[C] Load 4 chamber of 6 and spin before pull the trigger once

If you survive, you are pardoned of all crimes you've committed in the past and get to leave prison (alive, obviously), no compensation tho. (Attempts to end your own life is illegal)

Which of these options would you pick?

No search engine, no calculator pls. I'm bored and wanna make this fun. πŸ˜‰

If you are confused, ask in comments.

Edit: Reworded it to clarify that the chamber is spinned before the first trigger is pulled.

all 43 comments
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[–] [email protected] 4 points 15 hours ago (1 children)

I'd choose C and in a cheesy super villain voice say "look me in the eyes when you do it"

[–] [email protected] 3 points 15 hours ago

Executioner is a robot, feels no emotion

πŸ’₯πŸ”«πŸ€–

[–] [email protected] 4 points 19 hours ago

Gut says C feels safer and definitely less torturous so I chose C. Turns out A is better but only by 0.1% so not worth the wait.

[–] [email protected] 3 points 19 hours ago* (last edited 19 hours ago)

Guessed A then looked in the comments and that looked to be the best option so now I'm gonna roll some dice to see if I got released or not

Edit: aw beans

[–] wheeldawg 1 points 15 hours ago (1 children)

Isn't A by far the best odds? If he spins after each shot doesn't it kinda reset to really being 5/6 chance you're ok minus the one fired last, so 4/6.

[–] [email protected] 3 points 15 hours ago* (last edited 15 hours ago) (1 children)

spoilerIt is, but that's not how the math works.

You calculate using odds of survival. Its (5/6) done 6 times so its (5/6)^6 which is about 33.335% chance of survival, slightly better than with 4 chambers of 6 loaded and trigger pulled once, which would be (2/6) or 33.333%

[–] wheeldawg 3 points 15 hours ago

Oh is it trigger pulled pointed at you 6 times? I thought the trigger pulls were just to waste one safe shot, but you're only on the hook for one. Which made all that other part kinda a fuzzy waste.

That changes everything and makes so much more sense.

[–] [email protected] 5 points 23 hours ago

Segue, what makes you more comfortable for B?

This πŸŒ•πŸŒ•πŸŒ‘πŸŒ‘πŸŒ‘πŸŒ‘
Or
That πŸŒ•πŸŒ‘πŸŒ‘πŸŒ•πŸŒ‘πŸŒ‘

My first read I missed that the you were spinning the chamber between shots. I was thinking people pick B assuming its the first one and then get fucked the second way

Anyway, I think I'd go with C. If it's going to happen, it's going to happen, and I didn't get to death row by not believing in instant gratification

[–] [email protected] 18 points 1 day ago (1 children)

C. Just get it over with. Can't wait for the spin and reshoot.

[–] [email protected] 4 points 1 day ago* (last edited 1 day ago)

Spoiler:

Tap for spoiler0/6 chance to live <β€” actually I’m probably wrong about this one, I missed the β€œspin after each pull”… should be (5/6)^6 chance to live (~34%)

2/3 * 2/3 * 2/3 chance to live = 8/27 chance to live (~30%)

2/6 chance to live (~33%)

[–] [email protected] 16 points 1 day ago (1 children)

I'd go with C. Here are my MENTAL maths for odds of survival:

  • A: (5/6)^6
  • B: (4/6)^3 = (2/3)^3 = 8/27
  • C: 2/6 = 1/3 = 9/27

C is clearly better than B. I have no clue how much A is, but it follows the same basic reasoning as B, so it's probably worse than C too.

[–] [email protected] 13 points 1 day ago (2 children)

Spoilers:

spoilerA > C > B in terms of survival, or you could reverse it if you want to die and end your misery. Choices choices... πŸ˜‰

[–] [email protected] 1 points 17 hours ago (2 children)

Your misery will be greatly reduced if you live and are released.

[–] [email protected] 1 points 17 hours ago

Yea but you walk out with zero money. πŸ₯² You still have to find a job, and you might be pardoned, but the missing job history is gonna raise a lot of red flags.

So again... choices choices...

[–] [email protected] 1 points 17 hours ago

Either way you're good.

[–] [email protected] 8 points 1 day ago* (last edited 1 day ago)

DiscussionI did the maths after commenting. (5/6)⁢ = 33.49%, not too far from 1/3 = 33.33%.
Who wants to live forever anyway? :-P

That's a fun game by the way!

[–] [email protected] 13 points 1 day ago

Attempts to end your own life is illegal

What are they gonna do? Kill me?

Also, I'm gonna say B before doing the math.

I've done the math, I think.


Okay, the probability of living is the amount of unloaded chambers over the amount of chambers in total to the power of the amount of shots taken. Given that, we can conclude that...

  • Option A ((5/6)^6) gives you a 33.49% chance of survival,
  • Option B ((4/6)^3) gives you a 29.63% chance of survival, and
  • Option C ((2/6)^1) gives you a 33.33% chance of survival

So, turns out, I've chosen the worst odds. Whoops. However, they're so close that it honestly doesn't matter that much.

Also, sorry to those whose clients don't do spoilers. I'm with you on that one, I use Eternity.

[–] [email protected] 12 points 1 day ago (1 children)

load 4 chambers, attempt to take a guard or 4 with me

[–] [email protected] 5 points 1 day ago (1 children)

🀣

Lol you're not loading it, the executioner is.

You're just voicing your choice.

[–] [email protected] 8 points 1 day ago

To the guards, "I choose the four bullets... But not for me!"

[–] [email protected] 1 points 20 hours ago (3 children)

Because the barrel is spun each time it’s a simple percentage assuming the weight of the bullets don’t affect the spin. A is 16.2% for each trigger pull. B is 33.3% chance each trigger pull. C is 66.7%. The chances don’t stack because the barrel is spun again before each shot.

[–] [email protected] 2 points 15 hours ago (1 children)

By this logic, if you roll a die 1000 times, you have only a 1/6 chance to get at teast one 6.

[–] [email protected] 1 points 17 hours ago (1 children)

They don't stack, but statistically the probability of a fire goes up each time it is spun again. It's not additive, but it does increase.

[–] [email protected] 2 points 16 hours ago (1 children)

statistically the probability of a fire goes up each time it is spun again.

Please show your work here.

[–] [email protected] 3 points 16 hours ago* (last edited 15 hours ago)

Probability = 1 - (1 - 1/6)^6

So the probability that the gun goes off is 66.51%

https://en.m.wikipedia.org/wiki/Binomial_distribution

[–] Atomic 1 points 2 minutes ago

That's not how statistics work.

Leta say you're on your 6:th shot on option A.

For you to even get there, it requires all previous attempts to be in your favor. You're looking at events that all have to happen in a favorable order. And that is as follows

5/6 chance you live after the first time. (5/6)^2 chance you live after the second. (Because you have to survive the first) (5/6)^3 chance you live after the third. (Because you have to survive the first AND the second) .... and so on until (5/6)^6 ~ 33%

Think about flipping a coin. Do you really think getting 6 heads in a row is 50/50? The coin is "reset" between each flip. But it's not a 50/50 chance to get 6 heads in a row. If you don't believe me. Try it and see. According to statistics. It will take you 64 attempts to get 6 heads in a row.

[–] [email protected] 5 points 1 day ago
[–] [email protected] 6 points 1 day ago

Off the top of my head, I think the best chances of survival are: C, A, B. I'm not sure about A vs. C, because A's total odds are hard to calculate in my head, while C is exactly 1/3 (33.33%).

The reason A is better than B is that a 1/6 chance of dying, twice, is better than a 2/6 chance of dying, once. They might seem at first like the same, but consider that one of those 36 chances in the A case is where you get shot twice in a row. That's no worse than a regular death. So it comes out to only 11/36 of dying in the first two rounds of A, but 12/36 of dying in the first one round of B.

spoilerUsing a calculator. it turns out A is actually 0.16% better than C. They're really about the same.

[–] [email protected] 3 points 1 day ago (2 children)

I'm not taking their offer, better certain death than an unknown.

[–] BrundleFly2077 10 points 1 day ago

That is a WILD take, man. If you’re serious, you’re a new kind of person I’ve never met before.

[–] [email protected] 1 points 23 hours ago

This might count as "unusual" punishment, but imo it's far less cruel than what's usually on the table on death row

[–] [email protected] 5 points 1 day ago

I would choose option C.

4/6 loaded and 1 pull.

[–] Mandy 2 points 1 day ago

Can I choose where I pull the trigger?
Cause I can make it the best or the worst funny ever.

[–] [email protected] 3 points 1 day ago* (last edited 1 day ago)

ATM, I probably shouldn't be left with a gun and a choice. I don't care how many you load or if you spin. I would ask them if they would like to have a real conversation? They seem like an interesting type of person to get talking openly.

Seems like 1:6 Γ— 6 is the most survivable as I intuit the problem. The previous shots have no bearing on the statistics of the next.

E: So yeah, the weight of the bullets spinning out of balance likely has more than a 1% bearing on the outcome. Statistics irrelevant IMO... but that is what a loser would say.

[–] [email protected] 3 points 1 day ago* (last edited 1 day ago)

After quick math, I'll choose B. I believe it has 50% success rate.

Edit: oh no, "spinning after each shot"

[–] [email protected] 3 points 1 day ago* (last edited 1 day ago)

A. It's either A or B, something about the fractions, but it'll take me more than 30 seconds to reason it out.

Edit: rip, nevermind, they're all about equal

[–] [email protected] 2 points 1 day ago

C. I'm fine with either outcome. I'll be free.

[–] [email protected] 2 points 1 day ago

I'll pick B

[–] [email protected] 2 points 1 day ago* (last edited 1 day ago) (1 children)

I would choose not to take part in this stupid game.

But regarding your math, the option C has the highest chance of surviving

A: (5 * 5 * 5 * 5 * 5 * 5) / (6 * 6 * 6 * 6 * 6 * 6) = terribly low

B: (2 * 2 * 2) / (3 * 3 * 3) = something like 0.3

C: 1/3 = 0.33

[–] [email protected] 4 points 1 day ago

Spoilers

spoilerChances of survival: A: (5/6)^6 β‰ˆ 33.335% B: (4/6)^3 β‰ˆ 30% C: (2/6) = 33.333%

[–] [email protected] 2 points 1 day ago* (last edited 1 day ago) (1 children)

Does she spin before the first shot? Otherwise the bullet would always be in position to be fired. I assume so. Then option C, simply by expected value.

With 30 seconds being up, I must admit I can't calculate (5/6)^6 or (2/3)^3 fast enough to make a better comparison between the options.

Also, to be politically correct, what are my executioners pronouns? I just assumed she now, which may of course be offensive and I'm sorry for that.

[–] [email protected] 7 points 1 day ago* (last edited 1 day ago)

Yea reworded the post

Edit: Your executioner is a robot, genderless. πŸ˜‰