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A Box Contains 100 Bulbs, 20 of Which Are Defective. 10 Bulbs Are Selected for Inspection. Find the Probability that None is Defective

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प्रश्न

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that none is defective

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उत्तर

Out of 100 bulbs, 10 can be chosen in 100C10 ways.
So, total number of elementary events = 100C10

'None is defective' means that all are non-defective bulbs. The number of ways of selecting all 10 non-defective bulbs out
of 80 is 80C10 ways.
∴ Favourable number of elementary events = 80C10
 Hence, required probability = \[\frac{^{80}{}{C}_{10}}{^{100}{}{C}_{10}}\]

 

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अध्याय 33: Probability - Exercise 33.3 [पृष्ठ ४८]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 33 Probability
Exercise 33.3 | Q 44.4 | पृष्ठ ४८

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