What is the expected value of a die given the outcome is prime?

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We have a six sided die, what is the expected value of a die given the outcome is prime.

My solution:

Outcome is prime: This means it can be either $2, 3, 5$

$E(X) = (1/3)2 + (1/3)3 + (1/3)5$

Is this correct or am I missing something?

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This is correct, you are missing nothing. (Except perhaps the person who asked you this also wants you to do the calculation and convert your answer into a number.)