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MIHIR KELKAR

· started a discussion

· 1 Months ago

the answer should be 40/50. as the non defective pieces are 40... and if only those 40 pieces are picked then only the whole lot will be sent to the market

Question:
A multinational company dealing in consumer durables and operating in India, uses a quality-checking scheme on produced goods before sending them to market. The inspection plan is like: A lot of 50 articles is produced and 10 of them are chosen at random. If any of them is found defective then the whole lot is screened for defective articles one by one. If no defectives are found, the whole lot is sent to the market. What is the probability that a box containing 10 defective articles will be sent to the market ?
Options:
A) \(\cfrac{40_{c4}}{50_{c4}}\)
B) \(\cfrac{1}{5}\)
C) \(\cfrac{229}{326}\)
D) \(\cfrac{526}{1137}\)
E) \(\cfrac{50_{c2}}{40_{c2}}\)
Solution:
Required answer = \(\cfrac{10}{50}\) = \(\cfrac{1}{5}\)

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