Example 4 - In a school, there are 1000 students, 430 are girls - Examples

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Example 4 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? Total number of students = 1000 Total number of girls = 430 Girls studying in class XII = 10% of 430 = 10﷮100﷯ ×430 = 43 We need to find the Probability that a student chosen randomly studies in class XII, given that the chosen student is a girl E : student is in class XII F : student is a girl We need to find P(E|F) Now, P(E|F) = 𝑃 𝐸 ∩ 𝐹﷯﷮𝑃(𝐹)﷯ = 𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒊𝒓𝒍𝒔 𝒔𝒕𝒖𝒅𝒚𝒊𝒏𝒈 𝒊𝒏 𝑪𝒍𝒂𝒔𝒔 𝑿𝑰𝑰 ﷮𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒊𝒓𝒍𝒔﷯ = 43﷮430﷯ = 1﷮10﷯ = 0.1

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.