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Three critics with given odds in favour: probability the majority is in favour

The same question, asked 2 times: 10 May 2024 S1, 14 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2024 S1

    147
    Three critics: odds in favour 2:5, 3:4, 4:3. Probability majority is in favour

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  2. Question 2

    14 May 2024 S1

    131
    Three critics review a book. For the three critics the odds in favour of the book are 2:5, 3:4 and 4:3 respectively. The probability that the majority is in favour of the book, is given by

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