(A) Total number of girls $= 30$. Given that $40 \%$ of the girls are good at Mathematics. Number of girls good at Mathematics $= \frac{40}{100} \time

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(A) Total number of girls $= 30$. Given that $40 \%$ of the girls are good at Mathematics. Number of girls good at Mathematics $= \frac{40}{100} \times 30 = 12$. Number of girls not good at Mathematics $= 30 - 12 = 18$. Since the student selected is already known to be a girl,we only consider the sample space of girls. Required probability $= \frac{\text{Number of girls not good at Mathematics}}{\text{Total number of girls}} = \frac{18}{30} = \frac{3}{5}$.

Class 12 Mathematics Probability Conditional probability

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In a class consisting of $40$ boys and $30$ girls,$30 \%$ of the boys and $40 \%$ of the girls are good at Mathematics. If a student selected at random from that class is found to be a girl,then the probability that she is not good at Mathematics is

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In a class consisting of $40$ boys and $30$ girls,$30 \%$ of the boys and $40 \%$ of the girls are good at Mathematics. If a student selected at random from that class is found to be a girl,then the probability that she is not good at Mathematics is

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