Rom

there are 6 axes of reflection not 2

\(-\sin ^6(x)+\cos ^6(x)-15 \sin ^2(x) \cos ^4(x)+15 \sin ^4(x) \cos ^2(x)\)

the 2nd link is a 5x5 grid, being odd it's quite different

ok good.

using the table tell me the values of 

P[A and B]

P[A]

P[B]

we'll start there

Ok, OP's problem probably refers to this sort of thing

Now see this is a math question.  No need for the off-topic flag here.

Because it's a simple courtesy to use the off topic flag for it's intended purpose.

Some of us aren't interested in your chats.

what does that mean? 

You've posted this 4 times now.

If someone knew the answer it would have been posted by now.

I think the answer is (e) but I'm not taking the course you are so I'm not entirely sure.

do you have any interest in learning the material?

this is about as basic a question on conditional probability as one can come up with.

do you know how to pick out P[A], P[B], P[A and B], etc. from the table?

do you understand that P[A|B] = P[B|A]P[A]/P[B] ?