The probability that a new airport will get an award for itsdesign is 0.16, the

Question

The probability that a new airport will get an award for itsdesign is 0.16, the probability that it will get an award for theefficient use of materials is 0.24, and the probability that itwill get both awards is 0.11. Find the probabilities that the airport will get the designaward given that: A) It got the awards for the efficient use of materials; B) It did not get the award for the efficient use ofmaterials. The probability that a new airport will get an award for itsdesign is 0.16, the probability that it will get an award for theefficient use of materials is 0.24, and the probability that itwill get both awards is 0.11. Find the probabilities that the airport will get the designaward given that: A) It got the awards for the efficient use of materials; B) It did not get the award for the efficient use ofmaterials.

Explanation / Answer

P(Design)=0.16 P(Materials)=0.24 P(Both)=0.11 These two questions are conditional probability. (a) P(Design | Materials)=P(Design andMaterials)/P(Materials)=0.11/0.24=11/24 (b) P(Design | no Materials) =P(Design and NO Materials)/P(NOMaterials) = {P(Design)-P(Both)}/P( NO materials) =(0.16-0.11)/(1-0.24) =0.05/0.76 =5/76

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