Eye Color Prbability

glsgas said:

I,m not sure how to approach this problem.
If 85% of all people have brown eyes and 6 people are selected at random, find the probability that at least 1 of them has brown eyes? I know the answer is 0.9999886 but not sure how to do the problem. Thanks for your help.

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Subhotosh Khan said:

glsgas said:

I,m not sure how to approach this problem.
If 85% of all people have brown eyes and 6 people are selected at random, find the probability that at least 1 of them has brown eyes? I know the answer is 0.9999886 but not sure how to do the problem. Thanks for your help.

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Hint:

Find the probability that none of those have brown eyes.

Please show your work, indicating exactly where you are stuck - so that we know where to begin to help you.

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glsgas said:

.85/6=.416666667<<<< Incorrect

The first person will not have brown eyes = 0.15

The next person also (1+2) will not have brown eyes = 0.15 * 0.15 = (0.15)[sup:b2nvxnr2]2[/sup:b2nvxnr2]

The next person also (1+2+3) will not have brown eyes = (0.15)[sup:b2nvxnr2]2[/sup:b2nvxnr2] * 0.15 = (0.15)[sup:b2nvxnr2]3[/sup:b2nvxnr2]

The next person also (1+2+3+4) will not have brown eyes = (0.15)[sup:b2nvxnr2]3[/sup:b2nvxnr2] * 0.15 = (0.15)[sup:b2nvxnr2]4[/sup:b2nvxnr2]

.... and so on...

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glsgas said:

so, 0.15^6 correct =1.1390625<<< Incorrect how did you get that??!!

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