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. 😉
If you are confused, ask in comments.
Edit: Reworded it to clarify that the chamber is spinned before the first trigger is pulled.
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
Spoilers
spoiler
Chances of survival: A: (5/6)^6 ≈ 33.335% B: (4/6)^3 ≈ 30% C: (2/6) = 33.333%
How are you looking at ~15k / ~45k and deem that terribly low?