SOLUTION: Of 10 girls in a class, 3 have brown eyes. 2 girls are chosen at random. Find the probability that i) both have brown eyes ii) neither have brown eyes iii) atleast one has brown

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Question 826851: Of 10 girls in a class, 3 have brown eyes. 2 girls are chosen at random. Find the probability that
i) both have brown eyes
ii) neither have brown eyes
iii) atleast one has brown eyes

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Of 10 girls in a class, 3 have brown eyes. 2 girls are chosen at random. Find the probability that
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Binomial Problem with n = 2 and p(brown) = 3/10
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i) P(both have brown eyes) = (3/10)^2 = 9/100 = 0.09
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ii) P(neither have brown eyes) = (7/10)^2 = 0.49
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iii) P(atleast one has brown eyes) = 1-P(none of two) = 1-0.49 = 0.51
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Cheers,
Stan H.
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