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Question
The following table shows number of males and number of females of a small locality in different age groups.
| Age in years | 10-20 | 21-50 | Above 50 |
| Male | 8 | 12 | 6 |
| female | 6 | 10 | 4 |
If one of the persons, from this locality, is picked at random, what is the probability that
- the person picked is a male?
- the person picked is a female?
- the person picked is a female aged 21-50?
- the person is a male with age up to 50 years?
Solution
∵ Total number of persons = Number of males + Number of females
= 26 + 20 = 46
(a) An event when the person picked is male = 8 + 12 + 6 = 26
∴ Required Probability =`26/46=13/23`
(b) An event when the person picked is female = 6 + 10 + 4
∴ Reqired Probability =`20/46=10/23`
(c) An event when the person picked is a female aged 21-50 = 10
∴ Required Probaility =`10/46=5/23`
(d) An event when the person picked is a male aged up to 50 years = 20
∴ Required probability =`20/46=10/23`
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