COMEDK · Maths · 36. Probability
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing, is
- A \(\dfrac{13}{3^5}\)
- B \(\dfrac{11}{3^5}\)
- C \(\dfrac{10}{3^5}\)
- D \(\dfrac{17}{3^5}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{11}{3^5}\)
Step-by-step Solution
Detailed explanation
The total number of questions is \(n = 5\). Each question has 3 alternatives with exactly one correct answer, so the probability of guessing a correct answer is \(p = \dfrac{1}{3}\) and the probability of guessing an incorrect answer is \(q = 1 - p = \dfrac{2}{3}\). The number…
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