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participant on tv show picke from lage # applicants with equal number of men and woman .amongst the last 9 participant 7 have been women . if they are picked randomly what is the probability of geting 7 more women when 9 people are picked

  • statistics -

    Binomial distribution:
    - large population=>probability is (almost) constant
    - p=0.5 (men) q=(1-0.5) (women)
    - random independent multiple trials N=9
    - 2 possible outcomes at each trial

    P(7)=C(9,7)*p^7 * q^2
    =(9!/(2!7!))*0.5^7*(1-0.5)^2
    =0.07 (approximately)

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