Four persons independently solve a certain problem correctly with probabilities 1 2 , 3 4 , 1 4 , 1 8 . Then…

Four persons independently solve a certain problem correctly with probabilities 12,34,14,18. Then the probability that the problem is solved correctly by at least one of them is
  1. 2 3 5 2 5 6
  2. 2 1 2 5 6
  3. 3 2 5 6
  4. 2 5 3 2 5 6

Solution

P(Problem solved by at least one) =1-P(Problem is not solved by all)

=1-PA¯PB¯PC¯PD¯

=1-12143478=1-21256=235256

Asked in: JEE Advanced 2013 (Paper 1)

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