Question

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QUESTION for Maths ARYABHATTA
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Q. a box contains 12 items out of which 4 are defective, 3 items are drawn one by one without replacement. find probability that all drawn items are non defective
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Answer 1

Answer:

A box contains 10 items, 3 of which are defective. If 4 are selected at random without replacement, what is the probability that at least 2 of the 4 are defective? A bag contains 200 items of which 20 items are defectives. Seven items are selected at random one after another with replacement.

Step-by-step explanation:

Total number of items = 12

Total number of defective items = 4

Find the number of non defective items:

Total number of non-defective items = 12 - 4 = 8

Find the probability of 3 non-defective items:

P(3 non-defective items) = (8/12)(7/11)(6/10) = 14/55

If you need the answer in percentage:

14/55 x 100 = 25.45%

Answer: The probability, p, is 14/55

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Answer 2

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☺️Total number of defective items = 4

☺️Find the number of non defective items:

☺️Total number of non-defective items = 12 - 4 = 8

☺️Find the probability of 3 non-defective items:

☺️P(3 non-defective items) = (8/12)(7/11)(6/10) = 14/55

If you need the answer in percentage:

14/55 x 100 = 25.45%

Answer: The probability, p, is 14/55