Practice Addition And Multiplication Theorems (4.2.4) - Probability - ICSE 12 Mathematics

Practice: Addition and Multiplication Theorems

Lesson 4.2.4Probability

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the Addition Theorem formula?
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Think about combining probabilities and avoiding double counting.
Question 2.
If P(A) = 0.4 and P(B) = 0.5 with no overlap, what is P(A ∪ B)?
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Since there's no overlap to subtract, just add them.
3Question 3.
What is the correct formula for the Addition Theorem?
- P(A ∪ B) = P(A) + P(B)
- P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
- P(A ∪ B) = P(A) - P(B)
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Remember to consider the overlap when adding probabilities.
4Question 4.
True or False: The Multiplication Theorem applies only to independent events.
- True
- False
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Think about how two events can affect each other.
Question 5.
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.
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Use the Addition Theorem.
Question 6.
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.
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Consider the two possible sequences of drawing colors.

5 more questions in this section. Enroll free to practise them all.