Question

There are 500 students in a school, of which 230 are girls. Also, 10% of 230 girls are studying in class XII. Find the probability that a randomly chosen student is of XII class and is a girl.

Hint:

To find the probability of two independent events, multiply the probabilities of the individual events.

Answer 1

We are given that: - The total number of students is 500.
- The number of girls is 230.
- 10% of the 230 girls are studying in class XII.
The number of girls studying in class XII is: \[ \text{Girls in class XII} = 10% \times 230 = 0.1 \times 230 = 23. \] The total number of students in class XII is unknown, but we need the probability that a randomly chosen student is both in class XII and is a girl. The probability is given by: \[ P(\text{XII and girl}) = \frac{\text{Girls in class XII}}{\text{Total number of students}} = \frac{23}{500}. \] Conclusion: The probability that a randomly chosen student is of class XII and is a girl is \[ \boxed{\frac{23}{500}}. \]