MHT CET · Maths · Probability
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
- A \(\frac{1}{2}\)
- B \(\frac{31}{48}\)
- C \(\frac{9}{14}\)
- D \(\frac{9}{38}\)
Answer & Solution
Correct Answer
(B) \(\frac{31}{48}\)
Step-by-step Solution
Detailed explanation
The required probability \(=P\left(S_1\right) \cdot P\left(P / S_1\right)+P\left(S_2\right) \cdot P\left(P / S_2\right)\)
\(=\frac{1}{2} \times \frac{5}{8}+\frac{1}{2} \times \frac{4}{6}=\frac{31}{48}\)
\(=\frac{1}{2} \times \frac{5}{8}+\frac{1}{2} \times \frac{4}{6}=\frac{31}{48}\)
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