Module 4 · Problem Solving and Data Analysis
Chapter 19: Probability
Problem-Solving & Data Analysis
5 topics
What this chapter covers
The 5 topics below make up Probability on the Digital SAT. Click any topic to open its notes, examples and practice test.
1Experimental Probability
2Theoretical Probability
3Compound Events
4Independent Events
5Dependent Events
Study material & tests
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Formula Reference Sheet
This chapter
Basic probability
| Theoretical | favorable outcomes ÷ total outcomes |
|---|---|
| Experimental | successes ÷ number of trials |
| Complement | P(not A) = 1 − P(A) |
Combining events
| Either (mutually exclusive) | P(A or B) = P(A) + P(B) |
|---|---|
| Independent | P(A and B) = P(A) × P(B) |
| Dependent | multiply, updating the total after the first pick |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
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