# If a person is selected at random, find the probability that the person is under 40 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 40 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 40 years = 38 + 27

= 65

So, number of trials in which the event has happened = 65

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

Probability that the person is under 40 years = 65/200

= 13/40

= 0.325

Therefore, the probability that the person is under 40 years is 0.325

**✦ 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 30 years.

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

**NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 20(ii)**

## If a person is selected at random, find the probability that the person is under 40 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 40 years is 0.325

**☛ Related Questions:**

- If a person is selected at random, find the probability of the person having age from 30 to 39 years . . . .
- If a person is selected at random, find the probability that the person is under 60 but over 39 year . . . .
- Following is the frequency distribution of total marks obtained by the students of different section . . . .

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