mathematics - Multiple Choice Puzzle

What are the chances of getting this correct if you pick at random?

1. 1/4


2. 1/2


3. 1/3


4. 1/4

You are not allowed to add more answers to this list

Note; This DOES have a correct, demonstrable answer!

Answer

Probability of

picking `1/4` = `1/2`
picking `1/2` = `1/4`
picking `1/3` = `1/4`

Probability of

correct answer `1/4` = `1/3`
correct answer `1/2` = `1/3`
correct answer `1/3` = `1/3`

So the probability of me picking correct Answer is

( 1/2 * 1/3 ) + ( 1/4 * 1/3 ) + ( 1/4 * 1/3 ) = 1/3

Probability of me picking correct Label remains 1/4