That is correct.I have to either prove or disprove the following:

If , then (Assuming )

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

Now

i.e.

but I believe that

i.e

and (i.e

So this contradicts the hypothesis, but I am not sure if I calculated the probabilities of and right.