Practice Event Algebra (Set Theory of Events) - 2.1.5 | 2. Sample Space and Events | Mathematics - iii (Differential Calculus) - Vol 3
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Event Algebra (Set Theory of Events)

2.1.5 - Event Algebra (Set Theory of Events)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does A ∪ B represent?

💡 Hint: Think of it as bringing two sets together.

Question 2 Easy

Describe what A ∩ B means.

💡 Hint: Consider it as overlap in a Venn diagram.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the union of two events represent?

Only A occurs
Only B occurs
Either A occurs or B occurs or both

💡 Hint: Think about a group combining two clubs.

Question 2

True or False: The intersection of two events contains outcomes from either event.

True
False

💡 Hint: It's about the overlap.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given events A = {1,2,3,4} and B = {3,4,5,6}, find A ∪ B, A ∩ B, A - B, and Aᶜ assuming S = {1,2,3,4,5,6}.

💡 Hint: Identify all unique elements first for union.

Challenge 2 Hard

In a survey, 60% like coffee (event A), 40% like tea (event B), and 25% like both. What percentage likes at least one of the drinks?

💡 Hint: Remember to avoid double counting the overlap of both events.

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