In a job placement event, there are 1000 aspirants attending a company interview, out of which 430 are females. It is known that 10\% of the females a - Mathematics MCQ Mathematics Mock Test - 9 2026 | ExamTest.live

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In a job placement event, there are 1000 aspirants attending a company interview, out of which 430 are females. It is known that 10% of the females are graduates. Determine the probability that an aspirant selected randomly is a graduate given that the selected aspirant is a female?

Solution & Step-by-step Explanation

Let A be the event that the aspirant is a graduate and B be the event that the aspirant is female.We need to find P (A ∣ B), which is the probability of being a graduate given that the person is female.Total females n (B) = 430 .Females who are graduates n (A \cap B) = 10% of 430 = 0.1 \times 430 = 43 .The conditional probability is: P (A ∣ B) = \frac{n ( A \cap B )}{n ( B )} = \frac{43}{430} = 0.1

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In a job placement event, there are 1000 aspirants attending a company interview, out of which 430 are females. It is known that 10% of the females are graduates. Determine the probability that an aspirant selected randomly is a graduate given that the selected aspirant is a female?

0.01

0.43

4.3

0.1

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