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AP EAMCET · Maths · Probability

A multiple choice test consists of 5 questions, each question having 4 responses. There is only one correct response and the remaining 3 are incorrect responses. If a candidate attempts all the 5 questions then the probability that he answers at least 3 questions incorrectly is

  1. A \(\frac{675}{1024}\)
  2. B \(\frac{459}{512}\)
  3. C \(\frac{81}{128}\)
  4. D \(\frac{135}{512}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{459}{512}\)

Step-by-step Solution

Detailed explanation

Given \(x=5, P=\frac{1}{4}, q=\frac{3}{4}\) \(P\) (at least there incorrect answer)…