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A problem in mathematics is given to 3 students whose chances of solving it are 1/2, 1/3 and What is 1/4 the probability that the problem is solved ? |
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Answer» Problem will be solved if at least one student can solve. ∴ Probability of solving by one student = 1/2 = 1 – 1/2 = 1/2 Probability of not solving by any student = 1 – 1/3 = 2/3 Similarly, probability of not solving by third student = 1 – 1/4 = 3/4 Probability of not solving by any one of them = 1/2 x 2/3 x 3/4 = 1/4 ∴ Probability of solving by at least one of them = 1 – 1/4 = 3/4 |
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