Question

In a school, there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII, given that the chosen student is a girl?

(a) 3%
(b) 5%
(c) 7%
(d) 10%

Answer 1

The probability that a randomly chosen student from the school studies in class XII, given that the student is a girl, is 10%. This is directly given by the percentage of girls in class XII, which is stated to be 10%. Option D is correct.

Step-by-step explanation:

The question asks to find the probability that a girl chosen randomly from a school with 1000 students studies in class XII, given that there are 430 girls and 10% of these girls study in class XII. The probability of a random girl studying in class XII can be calculated using the percentage of girls in class XII.

To find this probability, we multiply the percentage of girls in class XII (which is 10%) by 100, since probability is often expressed as a fraction of 100. Thus, the probability that a randomly chosen girl is in class XII is 10%.

The answer to the question "What is the probability that a student chosen randomly studies in class XII, given that the chosen student is a girl?" is (d) 10%.

To find the probability that a randomly chosen girl studies in class XII, we need to find the number of girls studying in class XII and divide it by the total number of girls. Given that 10% of the girls study in class XII, we can calculate the probability as follows:

Probability = (Number of girls studying in class XII) / (Total number of girls)

Probability = (10% of 430) / 430

Probability = (0.1 * 430) / 430

Probability = 0.1

Therefore, the probability that a student chosen randomly studies in class XII, given that the chosen student is a girl, is 0.1 or 10%. Therefore, the answer is (d) 10%.