Neco 2022 Mathematics Question 49
Practice objective / multiple choice question 49 from the 2022 Neco Mathematics examination.
Consider a Venn diagram of three sets \(A\), \(B\) and \(C\) within a universal set of 100 elements. The numbers of elements in each region are as follows: only \(A\): 12, only \(B\): 9, only \(C\): 6, \(A\\cap B\) only: 8, \(A\\cap C\) only: 7, \(B\\cap C\) only: 5, \(A\\cap B\\cap C\): 3, and outside all three sets: 10. If an element is selected at random from the universal set, what is the probability that it belongs to exactly one of the sets \(A\), \(B\) or \(C\) given that it belongs to at least one of them? Express your answer in lowest terms.
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About This Question
This is Neco 2022 Mathematics Question 49. It is one of the objective questions from the 2022 Neco Mathematics examination.
Difficulty level: Medium .
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