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8 August, 14:27

Nanna's Italian Restaurant has collected data about customer sauce orders. It calculated that P (marinara) = 0.64, P (alfredo) = 0.56, and P (marinara or alfredo) = 0.89. Determine the P (marinara and alfredo).

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  1. 8 August, 15:02
    0
    Given the probabilities of individual events to occur, for the conjunction "and"

    P (marinara and alfredo) = P (marinara) x P (alfredo) = 0.64 + 0.59 = 0.3776

    Now for the first question, P (marinara or alfredo), use the equation,

    = P (marinara) + P (alfredo) - P (marinara and alfredo)

    Substituting,

    = 0.64 + 0.56 - 0.3776 = 0.8224
  2. 8 August, 16:17
    0
    To answer this question, apply this formula P (m and a) = P (m) + P (a) - P (m or a). Where m stands for marinara and a stands for alfredo.

    P (m and a) = P (m) + P (a) - P (m or a)

    P (m and a) = 0.64 + 0.56 - 0.89

    P (m and a) = 0.31
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