Respuesta :
Answer: Required probability will be
[tex]\frac{6}{21}[/tex]
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
[tex]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}[/tex]
Hence, required probability will be
[tex]\frac{6}{21}[/tex]
The probability of Nico choosing an advanced book and then a beginner book is [tex]\dfrac{6}{121}[/tex].
Given to us
Number of piano books owned by Nico = 11
- Number of beginner books = 2
- Number of intermediate books = 6
- Number of advanced books = 3
What is probability?
The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
What is the probability that he first chooses an advanced book and then chooses a beginner book?
As we know that Nico picks an advanced book and then replaces it therefore, keep it back, and then Nico picks a beginner book.
Probability(first an advanced book and then a beginner book)
= Probability(Advance book) + Probability(Beginner book)
[tex]\text{Probability(first an advanced book and then a beginner book)}[/tex]
[tex]=\dfrac{3}{11} \times \dfrac{2}{11}\\\\=\dfrac{6}{121}[/tex]
Hence, the probability of Nico choosing an advanced book and then a beginner book is [tex]\dfrac{6}{121}[/tex].
Learn more about Probability:
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