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      Question

      The probability of a student solving a problem correctly

      is 0.6. Out of 10 independent attempts, what is the probability that he solves at least 8 ?
      A 0.167 Correct Answer Incorrect Answer
      B 0.382 Correct Answer Incorrect Answer
      C 0.214 Correct Answer Incorrect Answer
      D 0.089 Correct Answer Incorrect Answer

      Solution

      We are given a binomial probability problem:

      • Probability of success (solving correctly): p = 0.6
      • Probability of failure: q = 1 − p = 0.4
      • Number of trials: n = 10
      • We need: P(X ≥ 8)
        i.e., probability of solving at least 8 problems out of 10.
      Use Binomial Formula:

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