MathProbability Basics

Course Outline
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Study GuideMathProbability Basics
📊 Problem Solving~15% of SAT Math

Probability Basics

Calculate probabilities and understand basic probability concepts.

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Worked Example

Practice Problems

Problem

3 red, 4 blue, 5 green

Problem

Flip coin twice, P(HH)?

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SAT Strategies

Pro Tips & Shortcuts

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SAT Tip: Probability can be expressed as fraction, decimal, or percent.

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SAT Tip: For "at least one" problems, use complement: P(at least 1) = 1 - P(none).

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SAT Tip: Coin flips, dice rolls, and draws with replacement are typically independent.

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SAT Tip: Always simplify fractions in probability.

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SAT Tip: Each flip is independent - the first result doesn't affect the second.

⚡ Shortcut

Count favorable outcomes and total outcomes carefully.

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Complement is useful when it's easier to calculate what doesn't happen.

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AND means multiply, OR means add (for mutually exclusive events).

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Total marbles = 12, blue = 4, so P = 4/12 = 1/3.

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For multiple independent events, multiply their probabilities.