jee-main 2025 Q80

jee-main · India · session2_07apr_shift2 Conditional Probability Bayes' Theorem with Production/Source Identification

Q80. There are three bags $X , Y$ and $Z$. Bag $X$ contains 5 one-rupee coins and 4 five-rupee coins; Bag $Y$ contains 4 one-rupee coins and 5 five-rupee coins and Bag Z contains 3 one-rupee coins and 6 five-rupee coins. A bag is selected at random and a coin drawn from it at random is found to be a one-rupee coin. Then the probability, that it came from bag Y , is :
(1) $\frac { 1 } { 4 }$
(2) $\frac { 1 } { 2 }$
(3) $\frac { 5 } { 12 }$
(4) $\frac { 1 } { 3 }$

Q80. There are three bags $X , Y$ and $Z$. Bag $X$ contains 5 one-rupee coins and 4 five-rupee coins; Bag $Y$ contains 4 one-rupee coins and 5 five-rupee coins and Bag Z contains 3 one-rupee coins and 6 five-rupee coins. A bag is selected at random and a coin drawn from it at random is found to be a one-rupee coin. Then the probability, that it came from bag Y , is :\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) $\frac { 5 } { 12 }$\\
(4) $\frac { 1 } { 3 }$

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