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5.2 Day Two. Two Way Tables Venn Diagrams Probability. Learning Targets. I can use a Venn diagram to model a chance process involving two events. I can use the general addition rule to calculate P(AUB). Two-Way Tables.
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5.2 Day Two Two Way Tables Venn Diagrams Probability
Learning Targets • I can use a Venn diagram to model a chance process involving two events. • I can use the general addition rule to calculate P(AUB).
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. Make a two-way table that displays the sample space Find P(A and B) Explain why P(A or B) ≠ P(A) + P(B).
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)
Venn Diagrams • Construct a Venn diagram to represent the outcomes of this chance process. • Determine which region represent each of the following: • Intersection of A and B • Intersection of A and Bc • Intersection of Ac and B • Intersection of Ac and Bc • Find the probability the a randomly chosen card will be a heart and a face card. • Find the probability that a randomly chosen card will be a face card that is not a heart.