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Independent and mutually exclusive events

Part 1 - Define independent and mutually exclusive events. Can two events be mutually exclusive and independent simultaneously? Support your answer with an example

Part 2 - A bag contains 25 balls numbered 1 through 25. Suppose an odd number is considered a 'success'. Two balls are drawn from the bag with replacement. Find the probability of getting

two successes
exactly one success
at least one success
no success

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