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Probability and relative frequency

Jessica White

Jessica White

6 min read

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Study Guide Overview

This study guide covers probability and data analysis for the AP SAT (Digital). Key topics include: probability fundamentals (definitions, sample space, events, complement), probability rules (addition and multiplication rules for independent and dependent events), calculating probability (simple/compound events, conditional probability), and data analysis with relative frequency (estimating probability, law of large numbers). The guide also provides practice questions and emphasizes exam focus areas like conditional probability, compound events, and relative frequency applications.

AP SAT (Digital) Probability & Data Analysis: Your Night-Before Guide 🚀

Hey there! Let's get you prepped and confident for the AP SAT (Digital) Math section. This guide is designed to be your quick, go-to resource, focusing on the most important stuff you need to know about probability and data analysis. Let's make sure you're ready to ace it!

Probability Fundamentals

Core Concepts and Definitions

  • Probability: Likelihood of an event, ranging from 0 (impossible) to 1 (certain). Think of it as a scale of how likely something is to happen. 📏
  • Sample Space: All possible outcomes of a random experiment. It's the entire set of possibilities. 🎲
  • Event: A subset of the sample space, meaning one or more outcomes. It's what you're interested in. 🎯
  • Calculating Probability: P(Event) = (Favorable Outcomes) / (Total Possible Outcomes). This assumes each outcome is equally likely.
  • Complement of an Event (A'): All outcomes not in A. P(A') = 1 - P(A). It's everything else! 🔄
Key Concept

Understanding the difference between sample space and event is crucial. Always define these before solving a problem.

Probability Rules for Multiple Events

  • Addition Rule (for 'OR'): P(A or B) = P(A) + P(B) - P(A and B). Use this when you want the probability of either A or B happening. ➕
  • Multiplication Rule (for 'AND', Independent Events): P(A and B) = P(A) × P(B). Use this when A and B don't affect each other. ✖️
  • Multiplication Rule (for 'AND', Dependent Events): P(A and B) = P(A) × P(B|A). Here, P(B|A) is the conditional probability. Use this when A does affect B...

Question 1 of 12

A standard six-sided die is rolled. What is the probability of rolling a 3? 🤔

1/2

1/3

1/6

1/4