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Question: Answered & Verified by Expert
There are 2 shelves. One shelf has 5 Physics and 3 Bilogy books and other has 4 Physics and 2 Biology books. Then probability of drawing a Physics book is
MathematicsProbabilityMHT CETMHT CET 2022 (08 Aug Shift 1)
Options:
  • A $\frac{1}{2}$
  • B $\frac{31}{48}$
  • C $\frac{9}{14}$
  • D $\frac{9}{38}$
Solution:
2976 Upvotes Verified Answer
The correct answer is: $\frac{31}{48}$
The required probability $=P\left(S_1\right) \cdot P\left(P / S_1\right)+P\left(S_2\right) \cdot P\left(P / S_2\right)$
$=\frac{1}{2} \times \frac{5}{8}+\frac{1}{2} \times \frac{4}{6}=\frac{31}{48}$

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