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  • Perplex
    IB Math AAHL
    /
    Probability
    /

    Problem Bank

    [Maximum mark: 6]

    Consider events ​A​ and ​B​ such that ​P(A)=k, ​P(B)=0.4, and ​P(A∪B)=0.7.

    1. Show that ​P(A∣B)=410k−3​.

      [4]
    2. Hence find ​k​ given that ​A​ and ​B​ are independent.

      [2]

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