4.2.4 - Addition and Multiplication Theorems
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Practice Questions
Test your understanding with targeted questions
What is the Addition Theorem formula?
💡 Hint: Think about combining probabilities and avoiding double counting.
If P(A) = 0.4 and P(B) = 0.5 with no overlap, what is P(A ∪ B)?
💡 Hint: Since there's no overlap to subtract, just add them.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the correct formula for the Addition Theorem?
💡 Hint: Remember to consider the overlap when adding probabilities.
True or False: The Multiplication Theorem applies only to independent events.
💡 Hint: Think about how two events can affect each other.
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Challenge Problems
Push your limits with advanced challenges
In a game, the probability of winning event A is 0.4 and for event B is 0.5, with a probability of both events happening together being 0.2. Calculate the probability of winning either event A or event B.
💡 Hint: Use the Addition Theorem.
A box contains 4 red and 6 blue balls. Two balls are drawn without replacement. Find the probability of drawing one red and one blue ball.
💡 Hint: Consider the two possible sequences of drawing colors.
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