4.3.4 - Addition and Multiplication Theorems
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Practice Questions
Test your understanding with targeted questions
What is the Addition Theorem formula?
💡 Hint: Remember the union and intersection of events.
If P(A) = 0.7 and P(B) = 0.2 with no overlap, what is P(A ∪ B)?
💡 Hint: Think no intersection means just sum them.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What formula represents the Addition Theorem?
💡 Hint: No hint provided
Is P(A ∩ B) calculated as P(A) × P(B) for independent events?
💡 Hint: No hint provided
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Challenge Problems
Push your limits with advanced challenges
A deck of cards is drawn from. What is the probability of drawing either a heart or an ace, if you know there are 52 cards and 4 aces in total, considering the overlap?
💡 Hint: Account for the overlap of the ace of hearts!
If P(A) = 0.3 and P(B) = 0.2 with dependence established as P(B|A) being 0.1, find P(A ∩ B).
💡 Hint: Independent doesn't matter here, use conditional probability!
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