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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

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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? Select the correct answer from above options

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Correct Answer - 13 30 Let E1= event of person being a female, and E2= event of person being 50 years old. Then, n(E1)=2000,n(E2)=1200, and n(E1∩E2)=(30% of 2000)=600. Now, n(E1∪E2)=n(E1)+n(E2)-n(E1∩E2)=2600. ∴P(E1∪E2)= 2600 6000 = 13 30 .

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