One carton was selected at random. What is the probability that it has no defective bulb? Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:
Number of defective bulbs 0 1 2 3 4 5 6 More than 6
Frequency 400 180 48 41 18 8 3 2

Solution:

Given, bulbs are packed in cartons each containing 40 bulbs

700 cartons were examined for defective bulbs.

We have to find the probability of selecting a carton that has no defective bulb

Probability of an event = Number of trials in which the event has happened / Total number of trials

From the given table,

Number of cartons which has no defective bulbs = 400

So, number of trials in which the event has happened = 400

Total number trails = 700

Probability of selecting a carton which has no defective bulb = 400/700

= 4/7

Therefore, the probability that has no defective bulb is 4/7

✦ Try This: Bulbs are packed in cartons each containing 30 bulbs. Six hundred cartons were examined for defective bulbs and the results are given in the following table:

One carton was selected at random. What is the probability that it has no defective bulb?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 18(i)

One carton was selected at random. What is the probability that it has no defective bulb? Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table: Number of defective bulbs 0 1 2 3 4 5 6 More than 6 Frequency 400 180 48 41 18 8 3 2

Summary:

Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the table. One carton was selected at random. The probability that it has no defective bulb is 4/7

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