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

In a town of 6000 people 1200 are over 50 years old and 2000 arefemale

1.	In a town of 6000 people 1200 are over 50 years old and 2000 arefemale. It is known hat 30% of the females are over 50 years. What is theprobability that a random chosen individual from the town either female orover 50 year?
Answer» Correct Answer - `13/30` Let `E_(1) =` event of person being a female, and `E_(2) =` event of person being 50 years old. Then, `n(E_(1)) = 2000, n(E_(2)) = 1200,` and `n(E_(1) nn E_(2)) = (30 % " of " 2000) = 600.` Now, `n(E_(1) uu E_(2)) = n(E_(1)) + n(E_(2)) - n(E_(1) nn E_(2)) = 2600.` `therefore P(E_(1) uu E_(2)) = (2600)/(6000) = 13/30.`

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

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