The Venn diagram below not to scale shows a sample space S and two events...

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The Venn diagram below not to scale shows a sample space S and two events A and B The area of the sample space is 1 Event A is represented by a square with a side length of 2 2 Event B is represented by a circle where the center of the circle is point O and the diameter is In2 1 Computer P A and P B II Prove that events A and B are independent III Prove that events A and B are not mutually exclusive A 0 B S

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