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Independent solvers or shooters: probability the problem is solved or the target is hit

The same question, asked 2 times: 9 May 2023 S2*, 9 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S2

    122
    Four persons can hit a target correctly with probabilities 12,13,14\frac{1}{2}, \frac{1}{3}, \frac{1}{4} and 15\frac{1}{5} respectively. If all hit at the target independently, then the probability that the target would be hit, is

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  2. Question 2

    9 May 2024 S2

    142
    A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are 12,13\frac{1}{2},\frac{1}{3} and 14\frac{1}{4} respectively. If all of them try independently, then the probability that the problem is solved is

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