# The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the university is a male in the business faculty? b. What is the probability that a student selected at random in the university is male or is in the business faculty? c. What percentage of males are in the business faculty?

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**Math student**

Question C) seems a bit misleading as one might think that it requires the percentage that male business students make up of the whole male population of students at the university.

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#### You need to know the following knowledge to solve this word math problem:

**combinatorics**- probability
- multiplication principle
**algebra**- sets
- intersection of sets
**arithmetic**- multiplication
**basic functions**- percentages

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