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    1. Q&A Forum
    2. An unbiased dice is thrown. What is the probability of getting a number other than 4.

    An unbiased dice is thrown. What is the probability of getting a number other than 4.

    Asked by admin • 17 days ago

    An unbiased dice is thrown. What is the probability of getting a number other than 4.

    Answers

    admin
    17 days ago

    Mathematics - Probability of Not Getting 4 on a Fair Die

    The probability of getting a number other than 4 when an unbiased (fair) six‑sided die is thrown is 5/6.

    Explanation

    The die has six faces: 1, 2, 3, 4, 5, and 6. The event “getting a number other than 4” includes the faces 1, 2, 3, 5, and 6, which are five favorable outcomes out of a total of six possible outcomes.

    Solution Steps

    1. Count the total number of possible outcomes: 6.
    2. Count the favorable outcomes (not 4): 5 (faces 1, 2, 3, 5, 6).
    3. Compute the probability: 5 ÷ 6 = 5/6.

    Tip: The probability of an event plus the probability of its complement always equals 1. Here, P(4) = 1/6, so P(not 4) = 1 - 1/6 = 5/6.

    Your Answer

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