Practice Addition and Multiplication Theorems - 4.2.4 | Chapter 4: Probability | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Addition Theorem formula?

πŸ’‘ Hint: Think about combining probabilities and avoiding double counting.

Question 2

Easy

If P(A) = 0.4 and P(B) = 0.5 with no overlap, what is P(A βˆͺ B)?

πŸ’‘ Hint: Since there's no overlap to subtract, just add them.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the correct formula for the Addition Theorem?

  • P(A βˆͺ B) = P(A) + P(B)
  • P(A βˆͺ B) = P(A) + P(B) - P(A ∩ B)
  • P(A βˆͺ B) = P(A) - P(B)

πŸ’‘ Hint: Remember to consider the overlap when adding probabilities.

Question 2

True or False: The Multiplication Theorem applies only to independent events.

  • True
  • False

πŸ’‘ Hint: Think about how two events can affect each other.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Use the Addition Theorem.

Question 2

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.

πŸ’‘ Hint: Consider the two possible sequences of drawing colors.

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