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

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Slide10.JPG

  1. Chapter 13 Class 12 Probability
  2. Serial order wise

Transcript

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 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.