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In answering a question of MCQ test with 4 choices per question, one of them being correct, a student knows the answer, guesses or copies the answer. A student guesses the answer. What is the probability that his Answer is correct?

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\frac{1}{2}

\frac{1}{4}

\frac{1}{3}

\frac{1}{9}

answer is B.

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Detailed Solution

Given a MCQ test with 4 choice per question. A student guesses the answer.
For an event E, probability is given by,

P E = Number of favourable outcomes n(E) Total number of outcomes n(S)

According to given data,
n(S) = 4 and n(E) = 1
Thus, the probability of guessing the correct answer is,

P (A) = \frac{1}{4}

Thus, the probability that the answer guessed is correct is

\frac{1}{4}

.
Therefore, option 2 is corret.

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