AP EAMCET · Maths · Probability
Two students appeared simultaneously for an entrance exam. If the probability that the first student gets qualified in the exam is \(\frac{1}{4}\) and the probability that the second student gets qualified in the same exam is \(\frac{2}{5}\), then the probability that atleast one of them gets qualified in that exam is
- A \(\frac{1}{10}\)
- B \(\frac{7}{20}\)
- C \(\frac{6}{10}\)
- D \(\frac{11}{20}\)
Answer & Solution
Correct Answer
(D) \(\frac{11}{20}\)
Step-by-step Solution
Detailed explanation
\(P(\text{first does not qualify}) = 1 - \frac{1}{4} = \frac{3}{4}\) \(P(\text{second does not qualify}) = 1 - \frac{2}{5} = \frac{3}{5}\) \(P(\text{neither qualifies}) = \frac{3}{4} \cdot \frac{3}{5} = \frac{9}{20}\)…
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