In a school club of 40 students, 25 students participate in debates, 15 students participate in quizzes, and 8 students participate in both activities. The following Venn diagram represents the events (participates in debates) and (participates in quizzes), with and representing numbers of students.
In a factory, of products are defective. Two products are selected independently at random.
In a survey of employees, use public transport, use a car, and use both to commute to work. Let represent the event "uses public transport" and represent the event "uses a car".
In a game show, a contestant chooses one of three doors at random. The probability that a prize is behind door A is , behind door B is , and behind door C is . After choosing a door, the contestant can either stay with their choice or switch to another door. If the contestant switches, then the probability of winning is if their initial choice was door A, if their initial choice was door B, and if their initial choice was door C (so overall ).
In a factory, of products are defective. Two products are selected at random and the defect status of each product is independent of the other.
Practice IB Mathematics Analysis and Approaches (AA) Topic SL 4.6—combined, Mutually Exclusive, Conditional, Independence, Prob Diagrams with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 4.6—combined, Mutually Exclusive, Conditional, Independence, Prob Diagrams and mirrors Paper 1, 2, 3 style where relevant.
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