JEE Mains · Maths · STD 12 - 13. probability
A company has two plants \(\mathrm{A}\) and \(\mathrm{B}\) to manufacture motorcycles. \(60 \%\) motorcycles are manufactured at plant \(\mathrm{A}\) and the remaining are manufactured at plant B. \(80 \%\) of the motorcycles manufactured at plant \(\mathrm{A}\) are rated of the standard quality, while \(90 \%\) of the motorcycles manufactured at plant \(B\) are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard quality. If \(p\) is the probability that it was manufactured at plant \(\mathrm{B}\), then \(126 \mathrm{p}\) is
- A \(54\)
- B \(64\)
- C \(66\)
- D \(56\)
Answer & Solution
Correct Answer
(A) \(54\)
Step-by-step Solution
Detailed explanation
\(A\) \(B\) Manufactured \(60%\) \(40%\) Standard quality \(80%\) \(90%\) \(\mathrm{P}(\) Manufactured at B / found standard quality \()=\) ? \(A\) : Found \(S.Q\) \(B\) : Manufacture \(B\) \(C\) : Manufacture \(A\) \( P\left(E_1\right)=\frac{40}{100} \)…
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