CUET · MATHS · PYQ PAPER 2025
If a computer code is correctly programmed, it gives \(90\%\) acceptable results. But if it is not correctly programmed, it gives only \(40\%\) acceptable results. From previous experience, it is observed that only \(80 \%\) of codes are correctly programmed. If after a certain programming, the code gives 2 acceptable results then the approximate probability that the code is correctly programmed is
- A \(\frac{81}{85}\)
- B \(\frac{9}{10}\)
- C \(\frac{17}{20}\)
- D \(\frac{13}{20}\)
Answer & Solution
Correct Answer
(A) \(\frac{81}{85}\)
Step-by-step Solution
Detailed explanation
\(P(C) = 0.8\) \(P(C') = 1 - 0.8 = 0.2\) \(P(A_2|C) = (0.9)^2 = 0.81\) \(P(A_2|C') = (0.4)^2 = 0.16\) \(P(A_2) = P(A_2|C)P(C) + P(A_2|C')P(C') = (0.81)(0.8) + (0.16)(0.2) = 0.648 + 0.032 = 0.68\)…
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