TS EAMCET · Maths · Probability
\(A\) and \(B\) are the two groups of books. Group \(A\) consists of 8 science and 5 engineering books and the group \(B\) consists of 6 science and 7 engineering books. When an unbiased die is rolled, if 2 or 5 turns up, a book is selected at random from the group \(A\). Otherwise a book is selected at random from the \(B\) group. When an unbiased die is rolled, the probability of selecting a science book is
- A \(\frac{13}{24}\)
- B \(\frac{34}{35}\)
- C \(\frac{20}{39}\)
- D \(\frac{13}{36}\)
Answer & Solution
Correct Answer
(C) \(\frac{20}{39}\)
Step-by-step Solution
Detailed explanation
Let \(E=\) Science book selected If 2 or 5 turns up after thrown a dice, then select a subject from \(A\) otherwise from \(B\). \( \therefore P(E)=\frac{2}{6} \times \frac{8}{13}+\frac{4}{6} \times \frac{6}{13}=\frac{40}{78}=\frac{20}{39} \)
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