Conditional probability — A/L Combined Mathematics

How do I practise Conditional probability?

1 question with a worked solution

Check before you answer: Denominator Event Identification: Correctly identifying the given conditioned event B and evaluating its probability P(B) as the denominator.

1. For two events A and B, P(B) = 0.50 and P(A ∩ B) = 0.15. What is the conditional probability of A given that B has occurred, P(A | B)?
   1. A) 0.35
   2. B) 0.075
   3. C) 0.30
   4. D) 0.65
   Check my answer

   Correct answer: C) 0.30

   By the definition of conditional probability: P(A | B) = P(A ∩ B) / P(B). Substituting values: P(A | B) = 0.15 / 0.50 = 0.30.

   Show worked solution

   Step 1: Formula: P(A | B) = P(A ∩ B) / P(B). Step 2: P(A | B) = 0.15 / 0.50 = 0.30. Answer: 0.30.
   Modelled on: the A/L Combined Mathematics examination pattern

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Where does Conditional probability fit in the syllabus?

Year 2 · Term 3