There are 40 people at a reception for international students. The students, boys and girls, are from Peru and China. 18 of all the students are boys, and 12 of all the students are Peruvian. 7 of the Peruvians are girls. Given that a student is a boy, what is the probability that he is Peruvian? A Venn diagram will help you to answer this question.

Reduce fraction to its lowest terms?

Question

There are 40 people at a reception for international students. The students, boys and girls, are from Peru and China. 18 of all the students are boys, and 12 of all the students are Peruvian. 7 of the Peruvians are girls. Given that a student is a boy, what is the probability that he is Peruvian? A Venn diagram will help you to answer this question.

Reduce fraction to its lowest terms?

anonymous · Answer

5/18 did you draw the venn diagram?

anonymous · Answer

There are 12 peruvians and 7 are girls, so the remaining 5 are boys.  there are 18 total boys.  5/18

anonymous · Answer

More formally:
P(Pe|B)=P(PeB)/(P(B))=(5/40)/(18/40)=5/18

where Pe is peruvian, B is boy, and PeB is the intersection of Pe and B

anonymous · Answer

11/18 :)