Mathematics Part-II

Book: Mathematics Part-II

Chapter: 13. Probability

Subject: Maths - Class 12th

Q. No. 14 of Exercise 13.5

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14

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

In this question, let us assume X represent the number of times selecting defected bulbs in a random sample of given 5 bulbs


Also, the repeated selection of defective bulbs from a box are the Bernoulli trials


Clearly, we have X has the binomial distribution where n = 5 and


And,






Hence, probability that none bulb is defective = P (X = 0)





option C is correct

14

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