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I have two fair dice rolled. Here are the following events: A ={sum of the numbers rolled is

Question

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?

 
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