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A Box Contains 100 Bulbs, 20 of Which Are Defective. 10 Bulbs Are Selected for Inspection. Find the Probability that All 10 Are Good - Mathematics

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Question

A box contains 100 bulbs, 20 of which are defective. 10 bulbs are selected for inspection. Find the probability that all 10 are good

Solution

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

The number of ways of selecting 10 non-defective bulb 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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Chapter 33: Probability - Exercise 33.3 [Page 48]

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RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 44.2 | Page 48

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