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In a town of 6000 people 1200 are over 5...

In a town of 6000 people 1200 are over 50 years old and 2000 are female. It is known hat 30% of the females are over 50 years. What is the probability that a random chosen individual from the town either female or over 50 year?

A

`13/30`

B

`13/60`

C

`13/90`

D

`26/30`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `S` be the sample space.
`:.n(S)=6000`
Let `E=` Selected individual is a female
`implies n(E)=2000`
Let `F=` selected individual is over 50 years old
`implies n(F)=1200`
and `EnnF=` selected individual is a female and is over 50 years
`impliesn(EnnF)=30% `or 2000
`=2000xx30/100`
`=600`
Now `P(EuuF)=P(E)+P(F)-P(EnnF)`
`=2000/6000+1200/6000-600/6000`
`=2600/6000=13/30`
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