Allied & ICAR Exam Bank • ALLIED_2512 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A student either knows the answer to a multiple choice question with 4 options (probability 0.75) or guesses (probability 0.25). If he answers correctly, what is the probability that he actually knew the answer? (Round to three decimal places)

Answer Key:

0.923

Step-by-Step Solution & Explanation

$P(C) = 0.75 \times 1 + 0.25 \times (1/4) = 0.75 + 0.0625 = 0.8125$. $P(K|C) = 0.75 / 0.8125 = 12/13 \approx 0.923$.
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