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Find the probability of a household earning Rs 10000 - Rs 14999 per year and having exactly one television. A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:
Monthly Income(in Rs) Number of Televisions/household
0 1 2 Above 2
< 10000 20 80 10 0
10000 - 14999 10 240 60 0
15000 - 19999 0 380 120 30
20000 - 24999 0 520 370 80
25000 and above 0 1100 760 220

Solution:

Given, the table represents the relationship between income level and the number of television sets in a home.

A company selected 4000 households at random and surveyed them.

We have to find the probability of a household earning Rs 10000 - Rs 14999 per year and having exactly one television.

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

From the given table,

Number of household earning Rs. 10000 - Rs. 14999 per year and having exactly one television = 240

So, number of trials in which the event has happened = 240

Total number trails = 4000

Probability of selecting a household earning Rs 10000 - Rs 14999 per year and having exactly one television = 240/4000

= 24/400

= 12/200

= 6/100

= 0.06

Therefore, the required probability is 0.06

✦ Try This: A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it. Find the probability that the ball drawn is a red ball.

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

NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 16(i)

Find the probability of a household earning Rs 10000 - Rs 14999 per year and having exactly one television. A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table: Monthly Income(in Rs) Number of Televisions/household 0 1 2 Above 2 < 10000 20 80 10 0 10000 - 14999 10 240 60 0 15000 - 19999 0 380 120 30 20000 - 24999 0 520 370 80 25000 and above 0 1100 760 220

Summary:

A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the given table. The probability of a household earning Rs 10000 - Rs 14999 per year and having exactly one television is 0.06

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