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A Box Contains 100 Bulbs, 20 of Which Are Defective. 10 Bulbs Are Selected for Inspection. Find the Probability Thatat Least One is Defective - 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 thatat least one is defective

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Solution

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

Probability for at least one defective bulb = 1 – Probability (all 10 are non-defective)
                                                               = \[1 - \frac{^{80}{}{C}_{10}}{^{100}{}{C}_{10}}\]

 

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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 44.3 | Page 48

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