# 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 the university's men are in the business faculty?

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 the university's men are in the business faculty?

### Correct answer:

**Showing 1 comment:**

**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
**numbers**- fractions

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