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Probability question

2023 · 8 Apr · Shift 1 · Q26

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JEE Main
Mathematics
Probability
2023 · 8 Apr · Shift 1 · Q26

Probability question

2023 · 8 Apr · Shift 1 · Q26

JEE MainMathematicsProbabilityMCQ+4 / −1

In a bolt factory, machines

A, B

and

C

manufacture respectively

20 \%, 30 \%

and

50 \%

of the total bolts. Of their output 3, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found the defective, then the probability that it is manufactured by the machine

C

is :

A
$\frac{2}{7}$
B
$\frac{9}{28}$
C
$\frac{5}{14}$
D
$\frac{3}{7}$

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