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Question: Answered & Verified by Expert
A bag contains books numbered 1 to 20 . Three books are drawn from the bag with replacement. The probability that largest number on the book is 7 .
MathematicsProbabilityAP EAMCETAP EAMCET 2020 (22 Sep Shift 2)
Options:
  • A $\frac{2}{17}$
  • B $\frac{1}{20}$
  • C $1-\left(\frac{7}{20}\right)^3$
  • D $\left(\frac{7}{20}\right)^3-\left(\frac{6}{20}\right)^3$
Solution:
2231 Upvotes Verified Answer
The correct answer is: $\left(\frac{7}{20}\right)^3-\left(\frac{6}{20}\right)^3$
The total probability of selecting 3 books and whose page number is less than or equal to 7 is $\left(\frac{7}{20}\right)^3$.
Total probability of selecting 3 books whose page number is less than 7 is $\left(\frac{6}{20}\right)^3$.
$\therefore$ Requiried probability $=\left(\frac{7}{20}\right)^3-\left(\frac{6}{20}\right)^3$
Hence, option (4) is correct.

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