AP EAMCET · Maths · Probability
In a consignment of 15 articles, it is found that 3 are defective. If a sample of 5 articles is chosen at random from it, then the probability of having 2 defective articles is
- A \(\frac{256}{625}\)
- B \(\frac{64}{625}\)
- C \(\frac{128}{625}\)
- D \(\frac{512}{625}\)
Answer & Solution
Correct Answer
(C) \(\frac{128}{625}\)
Step-by-step Solution
Detailed explanation
Step 1: Define the variables - Total articles \(=15\) - Defective articles \(=3\) - Non-defective articles \(=15-3=12\) - Sample size \(=5\) - We need the probability of choosing exactly 2 defective articles in this sample. Step 2: Use combinations to calculate possible outcomes…
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