I have two fair dice rolled. Here are the following events:

A ={sum of the numbers rolled is divisible by 3}

B={product of the numbers rolled is greater than 24}

I need to find the probabilities P(A) and P(B). (first define events A and B explicitly, as a list of all outcomes in an event.)

I need to find the probabilities P(AuB) and P(AnB). ( first define events AuB and AnB explicitly, as a list of all outcomes in an event.)

Help me understand if A and B are independent and why?