I have to either prove or disprove the following:
If , then (Assuming )
After trying to prove this generally a million times and failing, I decided to find a counter example, I'm not sure if this works though.
All the following events have to do with rolling one fair dice.
A is getting a "2"
B is getting an odd number
C is getting an even number
but I believe that
So this contradicts the hypothesis, but I am not sure if I calculated the probabilities of and right.
Thank you for your help.