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In a certain community it is known that 30% of people were born overseas and that...

In a certain community it is known that 30% of people were born overseas and that 20% of people are smokers. Can we conclude that 50% of people in the community were either born overseas or are smokers? Explain your answer as yes or no and explain The reason for your answer being 'yes' or 'no'. additionally also Estimate the percentage

math   Statistics-And-Probability   
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Answer #1

No, this is true only when people who born overseas are non smokers and people who smoke are not overseas born.

In notations, let A denotes the set of people born oversees and B denotes the people who are smokers, then given statement is true only when

Percentage of (A or B) = 30 + 20 - percentage of A and B

Percentage of A and B means percentage of people who are smokers as well as born oversees.

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