How to calculate an average value with probabilities?

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So I was wondering how to calculate an average value with probabilities.

This question is regarding grades.

So I got an 18/30 in the first part of my exam that counted as 30% of my final grade. I then got a 26/30 which counted as 70% of my final grade.

How can I calculate my average grade?

Thanks!

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What you are looking for is called an expected value. It is simply a mean weighted by the probabilities.