I don\'t understand how to get the maximum expectedrecorded value. the solution

Question

I don't understand how to get the maximum expectedrecorded value. the solution don't make sense to me. I thought to get the expected value, you add all theprobabilities then times that value by the X or Y value. But went Ido this I get the wrong anwser. Can someone explain this to me I don't understand how to get the maximum expectedrecorded value. the solution don't make sense to me. I thought to get the expected value, you add all theprobabilities then times that value by the X or Y value. But went Ido this I get the wrong anwser. Can someone explain this to me

Explanation / Answer

What I don't understand, are we adding the X and Y value then multiply by the p(x,y)?

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