Conditional Probabilty male students At a certain university, 30% of the students major in zoology. Of the students majoring in zoology, 60% are males. Of all the students at the university, 70% are males. What percentage of the all students at this university are males majoring in zoology? I tried to get the solution for this question, by calculating: > (0.3 * 0.6) / 0.7 = 0.2571 But the right answer seems to be 18%. **why?**

Let there be $100$ students in the university. Then there will be $30$ majoring in zoology. Of those $30$ students, there will be $0.6*30$ or $18$ males. Therefore the answer is $\frac{18}{100}$ or $0.18$