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This section of AP Statistics delves into the essential elements of probability models and sample spaces. A sample space (S) represents all possible outcomes of a random phenomenon. An event is defined as any outcome or set of outcomes within this sample space. The probability model provides a mathematical structure that assigns probabilities to these events. Key concepts also include the Multiplication Principle, which illustrates how to calculate the number of ways tasks can be completed. Examples include rolling dice and flipping coins, enhancing comprehension through practical applications.
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Section 6.2.1Probability Models AP Statistics
Sample Space • The sample space S of random phenomenon is the set of all possible outcomes. AP Statistics, Section 6.2, Part 1
Event • An event is any outcome or a set of outcomes of a random phenomenon. • That is, an event is a subset of the sample space AP Statistics, Section 6.2, Part 1
Probability Model • A probability model is a mathematical description of a random phenomenon consisting of two parts: a sample space S and a way of assigning probabilities to events. AP Statistics, Section 6.2, Part 1
Multiplication Principle • If you can do one task in a number of ways and a second task in b number of ways, then both tasks can be done in a·b number of ways. AP Statistics, Section 6.2, Part 1
Sample Space: Rolling 2 Dice AP Statistics, Section 6.2, Part 1
Sample Space: Flipping a Coin and Rolling a Die AP Statistics, Section 6.2, Part 1
Sample Space: Flipping 3 Coins AP Statistics, Section 6.2, Part 1
Sample Space: Flipping 4 Coins AP Statistics, Section 6.2, Part 1
Assignment • Exercises: 6.11, 6.12, 6.14, 6.17, 6.18 AP Statistics, Section 6.2, Part 1