SOLUTION: In a shipment of 78 vials, only 18 do not have airline cracks. If you randomly select 3 vials from the shipment, what is the probability that none of the 3 vials have airlines? wha

Algebra ->  Probability-and-statistics -> SOLUTION: In a shipment of 78 vials, only 18 do not have airline cracks. If you randomly select 3 vials from the shipment, what is the probability that none of the 3 vials have airlines? wha      Log On


   

Question 348063: In a shipment of 78 vials, only 18 do not have airline cracks. If you randomly select 3 vials from the shipment, what is the probability that none of the 3 vials have airlines? what is the probability that all 3 selected have airlines?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a shipment of 78 vials, only 18 do not have hairline cracks. If you randomly select 3 vials from the shipment,
P(have crack) = 18/78
P(no crack) = 60/78
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what is the probability that none of the 3 vials have hairlines?
Ans: (60/78)^3 = 0.4552
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what is the probability that all 3 selected have hairlines?
Ans: (18/78)^3 = 0.0123
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Cheers,
Stan H.