SOLUTION: 65% of the students are under age 24. If 5 of these students are selected, what is the probability they are all 24 or older.. Well the way I am reading it to me means, if they a

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Question 344439: 65% of the students are under age 24. If 5 of these students are selected, what is the probability they are all 24 or older..
Well the way I am reading it to me means, if they are selecting 5 from the 65% that are UNDER 24 then my answer is none of the students, right?
Help :-/
Found 2 solutions by stanbon, jrfrunner:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
65% of the students are under age 24. If 5 of these students are selected, what is the probability they are all 24 or older..
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You may be right but I doubt it.
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The answer they are looking for is probably 0.65^5 = 0.1160
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Cheers,
Stan H.
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Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website!
Let U=under age 24
let O=over age 24
given
P(U)=0.65, therefore P(O)=1-P(U)=1-0.65=0.35
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if 5 students are selected
P(all 5 are 24 or older)=P(OOOOO)=P(O)*P(O)*P(O)*P(O)*P(O) if we assume independence.
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