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A survey of 100 people reveals that · 48 of them are interested in football . 48 of them are interested in basketball 33 of them are interested in volleyball 2 people are not interested in any of these sports 15 people are interested in both football and basketball but not interested in volleyball ·8 people are interested in both basketball and volleyball but not interested in football 7 people are interested both football and volleyball (a) How many people are interested in at least two out of three sports? Demonstrate how you know with operations and Venn diagrams. (b) Find the probability that a randomly selected person enjoys only one sport at a time. Demon strate how you know with operations, Venn Diagrams and axioms.

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