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. 17 of the Chinese are girls. Given that a student is a boy, what is the probability that he is Chinese? A Venn diagram will help you to answer this question.

Write fractions using the slash ( / ) key. Reduce fractions to their 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. 17 of the Chinese are girls. Given that a student is a boy, what is the probability that he is Chinese? A Venn diagram will help you to answer this question.

Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

ddcamp · Answer

There are 12 Peruvians, so there are 28 Chinese.
17 of the Chinese are girls, so 11 are boys.
There are 18 boys overall.

That should be enough to figure it out.

nathan917 · Answer

18 boys so we have 22 girls!
12 Peruvians so 28 are Chinese!
17 out of 28 Chinese students are girls so 11 of them are Chinese boys!
we have 17 Chinese girls and totally 22 girls so 5 of the Peruvians are girls and 7 of them are boys!

so the result is that 11 out of 18 boys are Chinese and 7 out of 18 boys are Peruvian!!!
so the probability that a boy is Chinese = 11/18