jee-main 2023 Q90

jee-main · India · session2_08apr_shift1 Conditional Probability Bayes' Theorem with Production/Source Identification

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 to be defective then the probability that it is manufactured by the machine $C$ is
(1) $\frac { 5 } { 14 }$
(2) $\frac { 9 } { 28 }$
(3) $\frac { 3 } { 7 }$
(4) $\frac { 2 } { 7 }$

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 to be defective then the probability that it is manufactured by the machine $C$ is\\
(1) $\frac { 5 } { 14 }$\\
(2) $\frac { 9 } { 28 }$\\
(3) $\frac { 3 } { 7 }$\\
(4) $\frac { 2 } { 7 }$

Paper Questions

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