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lapo4ka [179]
2 years ago
15

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?
Mathematics
2 answers:
kaheart [24]2 years ago
4 0

Answer: Required probability will be

\frac{6}{21}

Explanation:

Since we have given that

Number of beginner books = 2

Number of advanced books = 3

Number of intermediate books = 6

Total number of instructional piano books = 11

Now,

According to question,

We have to find the probability that he first chooses an advanced book and then chooses a beginner book which is given by

P(\text{ he chooses first an advanced book and then chooses a beginner book})\\\\ =\frac{\text{ Number of advanced book}}{\text{Total number of books}}\times \frac{\text{ Number of beginner books}}{\text{Total number of books}}\\\\=\frac{3}{11}\times \frac{2}{11}=\frac{6}{121}

Hence, required probability will be

\frac{6}{21}

777dan777 [17]2 years ago
3 0
6/121 is the probability he first chooses an advanced book then chooses a beginner book.

3/11 x 2/11 = 6/121
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