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A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective

Solution:

Given, a carton of 24 bulbs contain 6 defective bulbs.

One bulb is drawn at random.

We have to find the probability that the bulb is not defective.

Favourable outcomes = bulbs which are not defective

Bulbs which are not defective = 24 - 6

= 18

Number of favourable outcomes = 18

Number of possible outcomes = 24

Probability = number of favourable outcomes / number of possible outcomes

Probability = 18/24

= 3/4

Therefore, the probability of selecting a bulb that is not defective is 3/4.

The bulb selected is defective and it is not replaced.

A second bulb is selected at random from the rest.

We have to find the probability of selecting a second bulb that is defective.

Now, total number of bulbs = 23

Favourable outcomes = defective bulb

Number of defective bulbs = 6 - 1 = 5

Number of favourable outcomes = 5

Number of possible outcomes = 23

Probability = number of favourable outcomes / number of possible outcomes

Probability = 5/23

Therefore, the probability of selecting a second bulb that is defective is 5/23.

✦ Try This: A carton of 35 bulbs contain 8 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 36

A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective

Summary:

A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. The probability that the bulb is not defective is 3/4. If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, the probability that the second bulb is defective is 5/23

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