Practice Addition and Multiplication Theorems - 4.3.4 | 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?

💡 Hint: Remember the union and intersection of events.

Question 2

Easy

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

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

Question 1

What formula represents the Addition Theorem?

  • A) P(A ∪ B) = P(A) + P(B)
  • B) P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
  • C) P(A ∩ B) = P(A) + P(B)

💡 Hint: No hint provided

Question 2

Is P(A ∩ B) calculated as P(A) × P(B) for independent events?

  • True
  • False

💡 Hint: No hint provided

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Challenge Problems

Push your limits with challenges.

Question 1

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!

Question 2

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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