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A Lot of 20 Bulbs Contain 4 Defective Ones. One Bulb is Drawn at Random from the Lot. What is the Probability that this Bulb is Defective? - Mathematics

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Question

A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

Short Note

Solution

umber of all possible outcomes = 20.

Number of defective bulbs = 4.

Number of non-defective bulbs = 20 − 4 = 16.

Let E1 be the event of getting a defective bulb.

∴ P(getting a defective bulb) = P(E1) = `("Number of outcomes favourable to"  E_1)/"Number of all possible outcomes"`

`= 4/20`

`=1/5`                                                         


Thus, the probability that the bulb is defective is `1/5`.

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Chapter 15: Probability - Exercise 15A [Page 689]

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RS Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Exercise 15A | Q 29.1 | Page 689
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