We have one (1) bin with balls. The bin contains ten balls, five red, two green, and three blue. Alice conducts the following experiment: Alice picks a ball from the bin uniformly at random. If the selected ball is green, then Alice stops picking balls. Otherwise, Alice picks a second ball from the bin, uniformly at random. What is the probability that Alice picks two red balls? That is, what it the probability that Alice picks two balls, and they are both red? The probability is the rational number p/q where p is _______________ and q is __________________

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