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If a person is selected at random, find the probability that the person is under 60 but over 39 years. A recent survey found that the ages of workers in a factory is distributed as follows:
Age (in years) 20 - 29 30 - 39 40 - 49 50 - 59 60 and above
Number of workers 38 27 86 46 3

Solution:

Given, the table represents recent survey of the ages of workers in a factory

A person is selected at random.

We have to find the probability that the person is under 60 but over 39 years.

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

From the given table,

Number of workers whose age is under 60 but over 39 years = 86 + 46

= 132

So, number of trials in which the event has happened = 132

Total number of workers = 38 + 27 + 86 + 46 + 3 = 200

Probability that the person is under 60 but over 39 years = 132/200

= 66/100

= 0.66

Therefore, the probability that the person is under 60 but over 39 years is 0.66

having age from 30 to 39 years.

✦ Try This: A recent survey found that the ages of workers in a factory is distributed as follows:

Age (in years)	20 - 29	30 - 39	40 - 49	50 - 59	60 and above
Number of workers	40	37	56	76	5

If a person is selected at random, find the probability that the person is under 40 but over 29 years.

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

NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 20(iv)

If a person is selected at random, find the probability that the person is under 60 but over 39 years. A recent survey found that the ages of workers in a factory is distributed as follows: Age (in years) 20 - 29 30 - 39 40 - 49 50 - 59 60 and above Number of workers 38 27 86 46 3

Summary:

A recent survey found that the ages of workers in a factory is given in the table. If a person is selected at random, the probability that the person is under 60 but over 39 years is 0.66

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