6 Travel Trends Unpacked Copyright © 2026 Pearson Education, Inc. Travel Trends Unpacked (50 – 60 minutes) Learning Objective(s): ● Students will define events as subsets of a sample space based on characteristics or categories of outcomes. ● Students will use set operations (union, intersection, complement) to describe combined events. ● Students will understand and identify independent events. ● Students will calculate probabilities of combined events and interpret survey data. Material needed: ● Student pages: Travel Trends Unpacked ● Calculator ● Venn diagram templates (optional) Lesson Procedure: Warm–Up 10 minutes Prompt: A survey of travelers is conducted. If the sample space is all those surveyed, how would you describe the event “travelers who visited coastal destinations” as a subset of this sample space? What would be the complement of this event? Discuss: survey population, sample, subset, complement Guided Instruction 15 minutes Present: scenario for Travel Trends Unpacked. Example: A group of travelers is surveyed. Some went to coastal places, some to historic sites, and some to both. What does it mean if a traveler is in the intersection of two sets? Travelers visited both coastal and historic sites. The union? Travelers visited either coastal or historic sites. Review: key terms – intersection, union intersection: The intersection of two events (A or B) is the event that A or B will occur, denoted by (A ∩ B). union: The union of two events (A and B) is the event that either A and B will occur, denoted by (A ∪ B). Independent Practice 20 minutes Distribute: student activity Travel Trends Unpacked Allow students to work individually or in pairs. Encourage peer discussion of reasoning. Closure 10–15 minutes Review Answers: 1. See diagram. 2. a. C ∩ H = {visited both coastal and historic}; b. C ∪ H = {visited coastal or historic or both}; c. C′ = {travelers who did not visit coastal destinations} 3. n(C ∩ H) = 120 4. n(C ∪ H) = 270 + 190 – 120 = 340 5. Review students’ responses. 6. a. P(only coastal) = 150/500 = 0.30 or 30%; b. P(only historic) = 70/500 = 0.14 or 14%; c. P(neither) = 160 / 500 = 0.32 or 32%; d. P(at least one) = 340/500 = 0.68 or 68% 7. If events C and H were independent, then P(C ∩ H) = P(C) • P(H) = (270/500) • (190/500) = 0.54 × 0.38 ≈ 0.205, but the actual P(C ∩ H) = 120/500 = 0.24, which is greater than 0.205. So, the events are not independent. Discuss: Based on this survey, do you think visiting historic sites and coastal destinations are related choices? How might this influence how countries promote different kinds of tourism destinations?
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