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Chapter 13 Class 12 Probability (Term 2)

Serial order wise

Last updated at May 25, 2021 by Teachoo

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 = 10100 ×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 ∩ 𝐹𝑃(𝐹) = 𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒊𝒓𝒍𝒔 𝒔𝒕𝒖𝒅𝒚𝒊𝒏𝒈 𝒊𝒏 𝑪𝒍𝒂𝒔𝒔 𝑿𝑰𝑰 𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒈𝒊𝒓𝒍𝒔 = 43430 = 110 = 0.1