GATE ME 2014 Set 3 — Question 10
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Engineering Mathematics → Probability → Axioms of Probability
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Question
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is
Correct answer
0.8 to 0.82
Solution
To find the probability that the batch is accepted, we need to calculate the probability that none of the four randomly chosen bulbs are defective.Given:
- Total number of bulbs () = 100
- Number of defective bulbs () = 5
- Number of non-defective (good) bulbs () =
- Number of bulbs sampled () = 4
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