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March 29, 2017

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If 20% of population have blue eyes, and 5 people are selected at random, what is the probability that at least 4 of them have blue eyes?

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  • MATH - ,

    Prob(blue eyes) = .2
    Prob(not blue eyes)= .8

    prob( at least 4 of 5 have blue eyes)
    = prob(exactly 4 of 5 have blue eyes) + prob(exactly 5 of 5 have blue eyes)
    = C(5,4)(.2)^4 (.8) + C(5,5)(.2)^5
    = 5(.0016)(.8) + 1(.00032)
    = .000672

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