Probability mass function of rolling 3 dice

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How would I calculate the pmf of rolling 3 dice, where X= number of 2's appeared? I just need one example, then I should be able to figure out the whole pmf. Thanks! :)

Um, they're 3 fair 6 sided die btw.

Or maybe if someone could help me realize the partitions of the sample space? Yeah I think then I could take off from there..! Cool, thanks ! :)

Is it each die has 1/3 chance so 3 1/3 partitions? Hmm..?

Or maybe it doesnt have partitions? Maybe its just some sort of counting problem I'm miss reading?

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So Im past this exam now, and I think I was asking the question wrong, sorry the professor does not really care about asking the question correctly, this ended up being a Binomial distribution problem.