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

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

#### Solution

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

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 13 Probability
Q 14 | Page 578

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