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MHT CET202019 Oct 2020Morning ShiftMathematicsProbabilityActual

A problem in statistics is given to three students P , Q and R . Their chances of solving the problem are 1 2 , 1 3 , 1 4 respectively. If all of them try independently, then the probability that the problem is solved, is

Options

  1. A2 3
  2. B1 2
  3. C3 4
  4. D1 4

Correct answer

C. 3 4

Step-by-step solution

(B) P (Problem will be solved) =1- P (Problem will not be solved by P , Q & R ) =1- [ (1- 1 2 ) (1- 1 3 ) (1- 1 4 ) ]=1- ( 1 2 2 3 3 4 )=1- 1 4 = 3 4

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