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A problem is given to three students A, B and C , whose probabilities of solving the problem independently are 1 2 , 3 4 and p respectively. If the probability that the problem can be solved is 29 32 , then what is the value of p ?

Options

  1. A2 5
  2. B2 3
  3. C1 3
  4. D1 4

Correct answer

D. 1 4

Step-by-step solution

aligned & Given P ( A )= 1 2 , P ( B )= 3 4 , P ( C )= P & 1- P ( A ) P ( B ) P ( C )= 29 32 & 1- 1 2 1 4 (1- P )= 29 32 & P = 1 4 aligned

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