Urn 1 contains 14 envelopes (of the same size) — six each contain $1 and the other eight each contain $5. Urn 2 contains eight envelopes (of the same size as those in urn 1) — three each contain $1 and the other five each contain $5. Three envelopes are randomly selected from urn 1 and transferred to urn 2. If Carmen now draws one envelope from urn 2, what is the probability her selection contains $1?
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