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  • Perplex
    IB Math AASL
    /
    Probability
    /

    Problem Bank

    [Maximum mark: 7]

    Let ​R​ be the value of a roll on ​6​-sided die. The probability distribution for ​R​ is shown in the following table.

    ​r​

    ​1​

    ​2​

    ​3​

    ​4​

    ​5​

    ​6​

    ​P(R=r)​

    ​0.1​

    ​0.1​

    ​p​

    ​q​

    ​0.2​

    ​0.2​

    Sally rolls the dice ​100​ times, and records ​25​ rolls of ​6.

    1. Explain why this is not inconsistent with the table.

      [1]

    Josh plays a game using this dice. He pays ​$4​ to roll the dice, and earns back the value of his roll in dollars.

    1. Determine the value of ​p​ and the value of ​q​ such that the game is fair.

      [6]

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