1. Two Way Tables Venn Diagrams Probability

2. Learning Targets 1. I can use a Venn diagram to model a chance process involving two events. 2. I can use the general addition rule to calculate P(AUB).

3. Two-Way Tables A standard deck of playing cards (with jokers removed) consists of 52 cards in four suits – clubs, diamonds hearts, and spades. Jacks, queens, and kings are considered “face cards.” Imagine that we shuffle the deck thoroughly and deal one card. Let’s define event A as getting a face card and event B as getting a heart. 1.Make a two-way table that displays the sample space 2.Find P(A and B) 3.Explain why P(A or B) ≠ P(A) + P(B).

4. General Addition Rule for Two Events If A and B are any two events resulting from some chance process, then P(A or B) = P(A) + P(B) – P(A and B)

5. Venn Diagrams 1.Construct a Venn diagram to represent the outcomes of this chance process. 2.Determine which region represent each of the following: 1.Intersection of A and B 2.Intersection of A and B c 3.Intersection of A c and B 4.Intersection of A c and B c 3.Find the probability the a randomly chosen card will be a heart and a face card. 4.Find the probability that a randomly chosen card will be a face card that is not a heart.