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Misc 3 - Suppose 5% of men and 0.25% of women have grey hair - Miscellaneous

Misc 3 - Chapter 13 Class 12 Probability - Part 2
Misc 3 - Chapter 13 Class 12 Probability - Part 3

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Misc 3 Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females. Let M : Male F : Female G : Grey hair Person We need to find the Probability that the person selected is male, if the person is grey haired i.e. P(M|G) P(M|G) = . ( | ) . | + . ( | ) Putting value in formula, P(M|G) = 0. 5 0 . 05 0. 5 0. 0025 + 0. 5 0. 05 = 0. 5 0 . 05 0. 5 0. 0025 + 0. 05 = 0.05 0.0525 = 500 525 = Therefore, required probability is 20 21

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.