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Understanding Probability: Cards and Joint Analysis

Explore the fundamentals of probability through practical examples involving a standard deck of cards. Learn how to calculate the probability of selecting specific cards, such as red cards and kings, and understand conditional probabilities in different contexts. Dive into joint and marginal probabilities with real-life scenarios. This resource presents clear examples to help reinforce your understanding of joint and conditional probabilities, essential for homework, academic tasks, or personal enrichment in statistical reasoning.

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Understanding Probability: Cards and Joint Analysis

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  1. Warm up • What is the probability of choosing a red card from a standard deck of cards? • What is the probability of choosing a king from a deck of cards? • Given that a card is black, what is the probability that you choose a 4? 50% 8% 2/26 = 8%

  2. Review HW

  3. Probability Tables

  4. A Little Vocabulary

  5. Joint Probability

  6. Marginal Probability

  7. Conditional Probability

  8. Example 1 • Using the table below, what is the joint probability of a female that is involved in SGA? 0/30 = 0%

  9. Example 2 • Using the table below, what is the marginal probability of choosing someone who is involved with athletics? 15/30 = 50%

  10. Example 3 • Using the table below, what is the conditional probability given that a person is male, that they are involved in Music/Arts? 5/18 = 28%

  11. Task – Public Opinions

  12. Homework Back of Task/Handout

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