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In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee?

In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee? Correct Answer 35

Solving it using a Venn Diagram:

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n(neither tea nor coffee) = n(ξ) – n(T ⋃ C) 

n(neither tea nor coffee) = 100 – (25 + 10 + 30)

n(neither tea nor coffee) = 35%

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