Finite Mathematics
PrintFinite Mathematics applies discrete mathematical structures to real-world problems: sets, matrices, networks, optimization, and probability. Each domain is self-contained but all share a common emphasis on finite, countable structures rather than continuous ones. The course suits students who need rigorous quantitative reasoning outside the calculus track.
Example Problems
Solve the following system of equations:
One hundred twenty households were surveyed about whether they own a dog and whether they own a cat. The following two-way table displays data for the sample:
In this sample, are the events "Owns dog" and "Owns cat" mutually exclusive?
| Ownership | Owns cat | Doesn't own cat | TOTAL |
|---|---|---|---|
| Owns dog | 50 | 30 | 80 |
| Doesn't own dog | 20 | 20 | 40 |
| TOTAL | 70 | 50 | 120 |
In this sample, are the events "Owns dog" and "Owns cat" mutually exclusive?
Keisha rolls a fair six-sided die three times. She earns points based on how many sixes she rolls according to the table below.
What is the expected number of points Keisha will score?
Round your answer to the nearest hundredth.
| Number of sixes | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Points | 0 | 4 | 9 | 16 |
What is the expected number of points Keisha will score?
Round your answer to the nearest hundredth.
Let and .
What is ?
What is ?
The component form of vector is .
Find .
Find .

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