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      Question

      John is answering a survey with 3 questions, each with 2

      options. Only one option is correct per question. If John answers randomly, what is the probability that he gets exactly 1 question right?
      A 4/8 Correct Answer Incorrect Answer
      B 3/8 Correct Answer Incorrect Answer
      C 7/8 Correct Answer Incorrect Answer
      D 1/8 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Probability of choosing the right answer = 1/2 Probability of choosing the wrong answer = 1/2 Number of ways to choose 1 correct answer out of 3Β  = (3/1) = 3 So, the required probability = 3 Γ— (1/2)1 Γ— (1/2)2 = (3Γ—1Γ—1)/(2Γ—2Γ—2) = 3/8Β 

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