PYQ Vault

Independent events given by odds: probability that all, two or most of them happen

This type of question, asked 4 times: 10 May 2024 S1, 10 May 2024 S2, 14 May 2024 S1, 16 Apr 2026 S1. All 4 questions 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

    10 May 2024 S2

    121
    The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are 2:5,  3:72:5,\;3:7 and 6:116:11 respectively, then probability of all of them arriving safely is

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  3. Question 3

    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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  4. Question 4

    16 Apr 2026 S1

    97
    Three ships A, B, C sail from England to India. If the odds in favour of their safe arrival are 2:5, 3:7 and 6:11 respectively, then the probability that the exactly two ships arrive safely is

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