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Statistics- Probability question?

The blood bank of the local hospital has a supply of plasma in which some units have been contaminated with a virus causing hepatitis. If 4 of the 20 units in the supply are contaminated, what is the probability that a severely injured accident victim is given 5 units of plasma will not be exposed to the virus?

responding as no correct ans yet
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ways to get 5 units of uncontaminated plasma = 16C5
total ways to get 5 units of plasma = 20C5

so reqd. probability = 16C5 /20C5

= 0.2817 or 28.17%

RareBloodGroups.Org by Tulika & Rahul Verma

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