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    Find the best constant bounds

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    Give examples of events to show that these bounds cannot be improved (SEE ATTACHED).

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    Solution Preview

    We know that P(AUB) = P(A) + P(B) - P(A intersection B)
    Or P(AUB) = 1/2 + 1/3 - P(A intersection B)
    Or P(AUB) = 5/6 - P(A intersection B)
    But P(AUB) >= 1/2
    Therefore, ...

    Solution Summary

    The best constant bounds are found.