# 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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