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8 January, 08:04

Given P (A) = 0.33, P (B) = 0.6 and P (A∩B) = 0.248, find the value of P (A∪B), rounding to the nearest thousandth.

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  1. 8 January, 11:08
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    The value of P (A ∪ B) is 0.682 to the nearest thousandth

    Step-by-step explanation:

    The addition rule of probability is:

    P (A ∪ B) = P (A) + P (B) - P (A ∩ B), where P (A ∪ B) is probability A or B, P (A ∩ B) is probability A and B

    ∵ P (A) = 0.33

    ∵ P (B) = 0.6

    ∵ P (A ∩ B) = 0.248

    - Substitute these values in the rule above

    ∴ P (A ∪ B) = 0.33 + 0.6 - 0.248

    ∴ P (A ∪ B) = 0.682

    The value of P (A ∪ B) is 0.682 to the nearest thousandth
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