jee-main 2025 Q80

jee-main · India · session2_02apr_shift1 Conditional Probability Bayes' Theorem with Production/Source Identification
Q80. Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected at random and a ball is drawn from it. If the ball drawn is black, then the probability that it is drawn from urn A is :
(1) $\frac { 5 } { 18 }$
(2) $\frac { 5 } { 16 }$
(3) $\frac { 4 } { 17 }$
(4) $\frac { 7 } { 18 }$
Q80. Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is selected at random and a ball is drawn from it. If the ball drawn is black, then the probability that it is drawn from urn A is :\\
(1) $\frac { 5 } { 18 }$\\
(2) $\frac { 5 } { 16 }$\\
(3) $\frac { 4 } { 17 }$\\
(4) $\frac { 7 } { 18 }$