Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.

If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

StartFraction 5 Over 121 EndFraction
StartFraction 6 Over 121 EndFraction
Five-elevenths
Six-elevenths