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Probability Examples: Analyses of Family Structures and Movie Selections

Explore the intricacies of probability through practical examples involving a family of four children, illustrating the calculation of the likelihood of having three boys and one girl using Pascal’s Triangle and tree diagrams. Additionally, delve into various scenarios involving movie selections: from picking multiple Pixar films to selecting combinations of DreamWorks and clay animation movies. Each example methodically breaks down the calculations, ensuring clarity and understanding of probability concepts.

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Probability Examples: Analyses of Family Structures and Movie Selections

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  1. Extra Examples for Probability Extra examples Work on Section 7.7

  2. Example 1: • Find the probability of having a family of four children with three boys and one girl. • Two ways to tackle this problem: • Pascal’s Triangle • Tree Diagram

  3. Example 1:

  4. Example 2: • You have seven Pixar movies, three DreamWorks movies, and two clay animation movies.

  5. Example 2a 7 Pixar movies, 3 DreamWorks movies, and 2 clay animation movies. • Find the probability of choosing two movies and both are Pixar movies.

  6. Example 2b 7 Pixar movies, 3 DreamWorks movies, and 2 clay animation movies. • Find the probability of choosing three movies, such that two are DreamWorks and one is clay animation

  7. Example 2c 7 Pixar movies, 3 DreamWorks movies, and 2 clay animation movies. • Find the probability of choosing two movies, such that two are DreamWorks or two are Pixar.

  8. Example 2d 7 Pixar movies, 3 DreamWorks movies, and 2 clay animation movies. • Find the number of ways of choosing one Pixar, one DreamWorks, and two clay animation.

  9. Example 2e 7 Pixar movies, 3 DreamWorks movies, and 2 clay animation movies. • Find the probability of choosing one Pixar, one DreamWorks, and two clay animation.

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