Kyle has three short straws, four medium straws, and six long straws. if he randomly draws two straws, one at a time without replacement, what is the probability that both are short straws?

Before the first straw is drawn, there are three short straws and straws in all.  Thus, the probability of drawing a short straw first is .

After a short straw is drawn, there are two short straws and twelve total straws, a probability of .

Thus, the probability of both of these events occurring is .

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