A scientist discovered that a certain element was present in 35% of the samples she studied. In 15% of all samples, the element was found in a special
compound. What is the probability that the compound is in a sample that contains the element?

Question

A scientist discovered that a certain element was present in 35% of the samples she studied. In 15% of all samples, the element was found in a special 
compound. What is the probability that the compound is in a sample that contains the element?

highschoolmom2010 · Answer

certain element was present in 35% of the samples =.35 
 15% of all samples, the element was found in a special compound=.15

ganeshie8 · Answer

we need to find P(compound |  element)

ganeshie8 · Answer

P(A | B) = P(A and B)/P(B)

ganeshie8 · Answer

P(compound | element) =  P(compound and element) / P(element)
                                    =   0.15/0.35
                                    = 42.86 %

ganeshie8 · Answer

check if thats the correct answer .-.

highschoolmom2010 · Answer

my book has the answer listed as 3/7

akashdeepdeb · Answer

That is 42.86%!

akashdeepdeb · Answer

3/7 = 42.86% [When it is represented as percentages. :) ]

highschoolmom2010 · Answer

oh hehe i knew that