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Four persons independently solve a certain problem correctly with probabilities 1 2 , 3 4 , 1 4 , 1 8 . Then the probability that the problem is solved correctly by at least one of them is

Options

  1. A2 3 5 2 5 6
  2. B2 1 2 5 6
  3. C3 2 5 6
  4. D2 5 3 2 5 6

Correct answer

A. 2 3 5 2 5 6

Step-by-step solution

P (Problem solved by at least one) = 1 - P (Problem is not solved by all) = 1 - P A ¯ P B ¯ P C ¯ P D ¯ = 1 - 1 2 1 4 3 4 7 8 = 1 - 2 1 2 5 6 = 2 3 5 2 5 6

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