If a person is selected at random, find the probability that the person is 40 years or more. 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 40 years or more.
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 40 years or more = 86 + 46 + 3
= 135
So, number of trials in which the event has happened = 135
Total number of workers = 38 + 27 + 86 + 46 + 3 = 200
Probability that the person is 40 years or more = 135/200
= 27/40
= 0.675
Therefore, the probability that the person is 40 years or more is 0.675
✦ 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 30 years or more.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14
NCERT Exemplar Class 9 Maths Exercise 14.3 Problem 20(i)
If a person is selected at random, find the probability that the person is 40 years or more. 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 are given in the table. If a person is selected at random, the probability that the person is 40 years or more is 0.675
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