"Records show that 8% of all college students are foreign students who also smoke. It is also known that 50% of all foreign college students smoke. What percent of the students at this university are foreign?"

Question

I had that:
P(A)=50
P(B)=?
P(A|B)=8

Answer 1

If 8 percent are foreign and smoke, but half of foreign studnens smoke, then why not is 16 precent of the students foreign? http://www.math.cornell.edu/~mec/2008-2009/TianyiZheng/Bayes.html

P(B)=P(A given B)/P(A)=.08/.50=.16