# Best Stat Question Ever?

#### The Game

##### New Member
Got this off Twitter (@galka_max) and found it interesting:

If you choose an answer to this question at random, what is the chance you will get it correct?

A) 25%
B) 50%
C) 60%
D) 25%

#### The Game

##### New Member
I meant to post this in the Stats Forum, not the "research" one.

My apologies.

#### The Game

##### New Member
How do you define "correct"?
I didn't know that was important. Why do you ask?

It is my understanding that there actually isn't an answer to this question so I don't know how to define, "correct."

#### CowboyBear

##### Super Moderator
I didn't know that was important. Why do you ask?

It is my understanding that there actually isn't an answer to this question so I don't know how to define, "correct."
If an answer is chosen at random, then each option has a 25% chance of being selected. If, then, there is a single option of 25% that is keyed as correct, the question is consistent: There is an answer such that the probability of selecting it randomly is the same as the displayed percentage, and that answer is keyed as correct.

But in the displayed question, A and D are both 25%, which screws things up. If A was keyed as correct, would D be too?

#### Dason

It doesn't actually specify what probability distribution would be used to choose "at random". One could make a case for almost any answer.

#### spunky

##### Doesn't actually exist
People need to stop with the assumption of random = uniform! Stop this madness!

#### Whitney1

##### New Member
Maybe fifty percent.

Last edited: