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In a Box Containing 100 Bulbs, 10 Are Defective. the Probability that Out of a Sample of 5 Bulbs, None is Defective is - Mathematics

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प्रश्न

In a box containing 100 bulbs, 10 are defective. The probability that out of a sample of 5 bulbs, none is defective is

(A) 10−1

(B) `(1/2)^5`

(C) `(9/10)^5`

(D) 9/10

उत्तर

The repeated selections of defective bulbs from a box are Bernoulli trials. Let X denote the number of defective bulbs out of a sample of 5 bulbs.

Probability of getting a defective bulb, p = 10/100 = 1/10

The correct answer is C.

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अध्याय 13: Probability - Exercise 13.5 [पृष्ठ ५७८]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 13 Probability
Exercise 13.5 | Q 14 | पृष्ठ ५७८

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