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Probability on the SAT
Slide Duration:Table of Contents
Section 1: Basic Math
SAT Properties of Integers
6m 40s
- Intro0:00
- How Properties of Integers are Tested0:12
- Learn by Example: Prime Factors4:38
Fractions on the SAT
8m 50s
- Intro0:00
- How Fractions are Tested on the SAT0:11
- Learn by Example: Evaluation with Fractions3:16
- Learn by Example: Word Problem with Fractions6:32
Percent on the SAT
22m 16s
- Intro0:00
- How the SAT Tests Percent0:10
- Percent Increase and Decrease3:24
- Percent More Than, Percent Less Than7:53
- Learn by Example: Percent Translation9:29
- Learn by Example: Percent More Than13:38
- Learn by Example: Dealing with Tax and Tip16:31
Number Lines on the SAT
8m 31s
- Intro0:00
- How Number Lines are Tested on the SAT0:08
- How to Solve SAT Number Line Problems0:54
- Learn by Example: Number Line Coordinates4:52
- Learn by Example: Representing and Inequality with a Number Line6:33
Exponents on the SAT
9m 32s
- Intro0:00
- How Exponents are Tested on the SAT0:09
- Consider Plugging in on Exponent Problems0:21
- Learn by Example: Exponents in Simultaneous Equations1:03
- Learn by Example: Exponent Analysis6:15
Absolute Value on the SAT
12m 36s
- Intro0:00
- How Absolute Value is Tested on the SAT0:11
- Learn by Example: Absolute Value3:07
- Learn by Example: Absolute Value and Inequalities7:09
Section 2: Proportions, Rates and Variations
Proportions on the SAT
11m 15s
- Intro0:00
- How Proportions are Tested on the SAT0:11
- Learn by Example: Map Scaling2:07
- Learn by Example: Medium to Hard Unit Conversion4:40
- Learn by Example: Where the SAT Really Tries to Trip You Up on Units8:24
Rates on the SAT
12m 39s
- Intro0:00
- How Rates are Tested on the SAT0:12
- Learn by Example: Videos Processed per Hour2:50
- Learn by Example: Multiple Rates7:27
Variations on the SAT
7m 59s
- Intro0:00
- How Variations are Tested on the SAT0:13
- Learn by Example: Direct Variation2:22
- Learn by Example: Variations4:12
- Learn by Example: Inverse Variation7:04
Section 3: Geometry
Area and Perimeter on the SAT
16m 59s
- Intro0:00
- SAT Problems on Area and Perimeter0:11
- Learn by Example: Perimeter of a Quarter Circle2:50
- Learn by Example: Area of the Unshaded Region4:26
- Learn by Example: Perimeter of a Square Inscribed in a Circle10:03
- Learn by Example: Using Pythagorean to Get Side Lengths13:23
Angles on the SAT
12m 11s
- Intro0:00
- How Angles are Tested on the SAT0:11
- What You Need to Know About Angles1:13
- Lean by Example: Angles (1)2:48
- Lean by Example: Angles (2)5:45
Triangles on the SAT
15m 25s
- Intro0:00
- What Sort of Triangles Will I see on the SAT?0:11
- Learn by Example: Triangle Basics5:09
- Learn by Example: Special Triangles10:14
- Learn by Example: Triangles with other Shapes12:12
Quadrilaterals on the SAT
13m 34s
- Intro0:00
- How Quadrilaterals are Tested on the SAT0:12
- Learn by Example: Squares1:50
- Learn by Example: Rectangle with Triangles6:29
- Learn by Example: Angles in a Quadrilateral Problem11:17
Circles on the SAT
16m 40s
- Intro0:00
- How Circles are Tested on the SAT0:11
- But Don't Bother with Any of This1:40
- How to Deal with Sections of a Circle1:55
- College Board Expects Mistakes Here4:04
- Circumference=Perimeter4:47
- Learn by Example: How Circle Problems Are Presented5:18
- Three Tangential Circles5:48
- Learn by Example: Concentric Circles8:56
- Learn by Example: Shaded Area with Combination Circles and Squares11:53
Section 4: Graphing
SAT Coordinate Geometry
14m 38s
- Intro0:00
- How the SAT Test Coordinate Geometry0:17
- Learn by Example: Midpoint and Distance3:08
- Distance Example: the Length of the Square5:39
- Example: Figures in the Coordinate Plane9:34
SAT Translation
10m 6s
- Intro0:00
- How the SAT Tests Graph Translation0:11
- Shifting the Graph in the Y: f(x)+a1:01
- Shifting the Graph in the X: f(x+a)1:50
- Multiplying the Graph af(x)2:59
- Multiplying the Graph f(ax)5:07
- How the SAT Tests Rotations and Reflections6:19
- Learn by Example: Rotations and Reflections7:52
Lines on the SAT
6m 15s
- Intro0:00
- How Lines are Tested on the SAT0:09
- Learn by Example: Finding the Intercept1:48
- Learn by Example: Perpendicular Lines3:42
Line Slope on the SAT
10m 46s
- Intro0:00
- How Line Slope is Tested on the SAT0:10
- Definition of Slope0:25
- Slope Equation1:12
- Classifying Slopes: Steep, Flat, Negative1:50
- Determining the Slope in Problems3:41
- Learn by Example: Line Slope (I)4:43
- Learn by Example: Line Slope (2)8:04
Section 5: Advanced Algebra
SAT Quadratic Equations
6m 46s
- Intro0:00
- How the SAT Tests Quadratic Equations0:11
- Required Knowledge for Quadratic Equations2:52
- Learn by Example: Quadratic Equations5:02
Expressions on the SAT
10m 20s
- Intro0:00
- How Expression are Tested on the SAT0:10
- Learn by Example: Expression Evaluation--Signed Numbers and Exponents1:17
- Learn by Example: Expression Evaluation of Arithmetic Overload6:16
Systems of Equations
28m 57s
- Intro0:00
- The Basics: Systems of Equations0:19
- Equations with Infinite Solutions0:44
- Number of Equations Should Match the Number of Unknowns2:41
- Manipulation and Combination4:34
- Manipulation and Combination: Really?7:23
- Manipulation and Combination: Coefficients10:41
- Manipulation and Combination: Steps13:50
- Substitution15:49
- Which Method Should Be Used?20:13
- Oh No, Three Equations?22:58
- Three Equation Example24:22
Inequalities on the SAT
13m 8s
- Intro0:00
- How Inequalities are Tested on the SAT0:11
- What to Know: Inequalities3:12
- Learn by Example: Solving an Inequality for a Variable7:12
- Learn by Example: Inequalities with Parameters9:02
Special Functions on the SAT
8m 16s
- Intro0:00
- 'Special Functions' on the SAT0:09
- Treating Special Functions like General Function Evaluation *Same Idea (Implies)1:24
- Learn by Example: Special Functions (1)3:40
- Learn by Example Special Functions: (2)4:40
Section 5: Statistics, Combinations and Probability
Averages on the SAT
10m 20s
- Intro0:00
- How Averages are Tested on the SAT0:10
- Important Quantities: Average, Sum and Number of Values0:36
- Rearranging the Average Equation to be of Maximum Use1:36
- Learn by Example: Averages (1)3:16
- Learn by Example: Averages (2)7:17
Median and Mode on the SAT
8m 31s
- Intro0:00
- How the SAT Test Median and Mode0:32
- Learn by Example: Using a Table to find the Median1:46
- Learn by Example: Finding the Median with an Unknown4:41
- Learn by Example: Mode6:35
Data Analysis on the SAT
18m
- Intro0:00
- How Data Analysis is Tested on the SAT0:11
- Tables1:16
- Using Table Totals2:08
- Pie Charts3:50
- Pie Charts Examples5:56
- Creating Pie Charts7:00
- Bar Graphs9:35
- Comparing Pie Charts and Bar Graphs11:22
- Scatter Plot Graphs12:45
- Example of a Scatter Plot13:48
- Line Graphs15:12
- Line Chart Example15:32
Probability on the SAT
9m 37s
- Introduction0:00
- How the SAT Tests Probability0:10
- Probability Definition0:54
- Probability of A or B occurring1:56
- Probability of A and B both occurring3:16
- Learn by Example: Probability (1)4:12
- Learn by Example: Probability (2)6:07
Combinations and Permutations on the SAT
10m 10s
- Intro0:00
- How Combinations and Permutations are Tested on the SAT0:14
- Using 'Blank Space' Representors1:32
- Learn by Example: Combinations2:44
- Writing Out the Possibilities3:53
- Learn by Example: Permutations5:14
- Writing Out the Possibilities7:04
Logical Reasoning on the SAT
9m 18s
- Intro0:00
- How Logical Reasoning is Tested on the SAT0:11
- Learn by Example: Logic Questions and Using Differences0:54
- Learn by Example: Logic Questions with Inequalities5:32
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For more information, please see full course syllabus of SAT: Mathematics
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0 answers
Post by Jeffrey Tao on October 26, 2013
This is more of an important point for other viewers than a question. In the case of the crayons, the probability of picking in the AND case is 1/10 x 1/10 ONLY if after one crayon is picked, it is put back into the box before the second pick. Otherwise, if the crayon is left out, the probability is 1/10 x 1/NINE because if the crayon isn't put back after the first draw, then during the second time picking the crayon, there will be only nine crayons, thus it is 1/NINE x 1/10.