Test Index

JEE Main 6 Apr 2024 Shift 1 Paper

Section: Mathematics

© examsnet.com

Question : 10 of 90

Marks: +1, -0

A company has two plants A and B to manufacture motorcycles.

60\%

motorcycles are manufactured at plant

A

and the remaining are manufactured at plant B.

80\%

of the motorcycles manufactured at plant

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

B

126p

[6 Apr 2024 Shift 1]

54
64
66
56

Solution: 👈: Video Solution

	A	B
Manufactured	$60\%$	$40\%$
Standard quality	$80\%$	$90\%$

P(

Manufactured at

B/

found standard quality

)=

?

A : Found S.Q

B : Manufacture B

C : Manufacture A

\;P(E_1)=\frac{40}{100}

\;P(E_2)=\frac{60}{100}

\;P(A/E_1)=\frac{90}{100}

\;P(A/E_2)=\frac{80}{100}

\because P(E_1/A)=\frac{P(A/E_1)P(E_1)}{P(A/E_1)P(E_1)+P(A/E_2)P(E_2)}=\frac{3}{7}

\therefore 126P=54

© examsnet.com

Go to Question:

Prev Question

Next Question